So, yes, this problem needs a lot more clarification. You will end up with 6 marks, and if you join them with the straight lines, you will have yourself a regular hexagon. a) n - 2 b) n - 1 c) n d) n + 1. How many acute angles does an equilateral triangle have? a) 5 b) 6 c) 7 d) 8. How many faces have perpendicular edges in a pentagonal pyramid? If a polygon has 500 diagonals, how many sides does the polygon have? It solves everything I put in, efficiently, quickly, and hassle free. Fill order form Confidentiality Hexagon Calculator. Draw a circle, and, with the same radius, start making marks along it. A place where magic is studied and practiced? There are six equilateral triangles in a regular hexagon. We know that in a regular octagon, all the sides are of equal length. Math can be daunting for some, but with a little practice it can be easy! There are $n-4$ options to form triangle with one side common with polygon therefore the number of triangles with one side common with regular polygon having $n$ number of sides $$=n(n-4)$$ The total number of hexagon diagonals is equal to 9 three of these are long diagonals that cross the central point, and the other six are the so-called "height" of the hexagon. Concave octagons have indentations (a deep recess). The most unexpected one is the shape of very bright (point-like) objects due to the effect called diffraction grating, and it is illustrated in the picture above. Formula : Here number of vertical parts " n" and horizontal parts "m" then possible triangles is Figure - 11: Triangle counting in Fig - 11 = 30 Solution : Here number of vertical parts " 4 and horizontal parts "3" then possible triangles is 4 x 3 x 5 /2 = 30 Figure - 12: Triangle counting in Fig - 12 = 45 non-isosceles triangles with vertices in a 20-sided regular polygon. The area of an octagon is the total space occupied by it. There are 8 interior angles and 8 exterior angles in an octagon. To one side of each diagonal is a triangle, and you count of those: one to that side of the first diagonal, a second one to that side of the second diagonal, and so on. In this case, there are 8 sides in an octagon. How many intersections does an n-sided polygon's diagonal have if no 3 diagonals intersect. regular octagon regular hexagon regular decagon |regular dodecagon mber of triangles ed in 4 O prior angle sum is 1.800 amber of triangles O ned is 6 2. 4! When you create a bubble using water, soap, and some of your own breath, it always has a spherical shape. A regular octagon is one in which all the sides are of equal length and all the interior angles are of equal measure. Find the value of $\frac{N}{100}$. = 6 5 4 3 2 1 3 2 1 3 2 1 = 20 In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. How do I connect these two faces together? Answer: A total of 20 triangles can be formed. a) 2 b) 3 c) 4 d) 5. In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. In that case, you get two trapezoids, and you can calculate the area of the hexagon as the sum of them. How many triangles are there in a nonagon? Well it all started by drawing some equilateral triangles so that they made a regular hexagon: Then we made a bigger one: Well there was the thought about how many dots there were in various places. [ n C r = n! Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. How many triangles do you get from six non-parallel lines? Method 1 Drawing the Diagonals 1 Know the names of polygons. This cookie is set by GDPR Cookie Consent plugin. 3! In a regular octagon, all the interior angles are of equal measure and each interior angle measures 135. None B. Making such a big mirror improves the angular resolution of the telescope, as well as the magnification factor due to the geometrical properties of a "Cassegrain telescope". there are 7 points and we have to choose three to form a triangle . That is because despite being very bright objects, they are so very far away that only a tiny fraction of their light reaches us; you can learn more about that in our luminosity calculator. Similarly, all the exterior angles are of equal measure and each exterior angle measures 45. Our hexagon calculator can also spare you some tedious calculations on the lengths of the hexagon's diagonals. Let $P$ be a $30$-sided polygon inscribed in a circle. How many right angles does a hexagonal prism have? Answer with solution Again it is good to use symmetry here, we can brake this image into six small triangles each formed by one of the side of the hexagon and each of the triangle is divided in half by a line. Convex or not? The number of triangles with no side common with regular polygon having $n$ number of sides $$=^nC_3-n-n(n-4)$$. The area of a triangle is \displaystyle 0.5\cdot b\cdot h. Since, How to determine greatest common monomial factor, How to find the height of a trapezium calculator, How to find the mean of a frequency distribution chart, Post office term deposit interest calculator, Va disabilty rate calculator with bilateral factor. Here, the side length, a = 5 units. Since a regular hexagon is comprised of six equilateral triangles, the. c. One triangle. Polygon No. Two triangles will be considered the same if they are identical. How many different types of triangles can be formed with the vertices of a balanced hexagon? However, when we lay the bubbles together on a flat surface, the sphere loses its efficiency advantage since the section of a sphere cannot completely cover a 2D space. There are a total of 8 sides in an octagon, and those eight sides are parallel to their respective opposite side in the case of a regular octagon. The way that 120 angles distribute forces (and, in turn, stress) amongst 2 of the hexagon sides makes it a very stable and mechanically efficient geometry. When you imagine a hexagon as six equilateral triangles that all share the vertex at the hexagon's center, the apothem is the height of each of these triangles. How many right triangles can be constructed? Thus the final result is $nC3-nC1*(n-4)C1-nC1$. This fact makes it much easier to calculate their area than if they were isosceles triangles or even 45 45 90 triangles as in the case of an octagon. Answer: 6. basically, you have 6 vertices, and you can pick 3, without picking twice the same. Equivalent Fractions in Hexagon Drawing a line to each vertex creates six equilateral triangles, which is six equal areas. In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. One of the biggest problems we experience when observing distant stars is how faint they are in the night sky. Most of the entries in the NAME column of the output from lsof +D /tmp do not begin with /tmp. , Was ist ein Beispiel fr eine Annahme? In an 11-sided polygon, total vertices are 11. The angle bisectors create two half angles which measure 60: mOAB=mOBA=60. We can find the area of the octagon using the formula, Area of a Regular Octagon = 2a2(1 + 2). Avg. @Freelancer you have $n$ choice of sides. , Wie sagen Sie, bitte sehen Sie sich diese Angelegenheit an? This can be calculated by adding the side lengths using the formula, Perimeter of octagon = Sum of all its sides. There are six equilateral triangles in a regular hexagon. Is there a proper earth ground point in this switch box? Each exterior angle of a regular hexagon has an equal measure of 60. Does a barbarian benefit from the fast movement ability while wearing medium armor? All the interior angles are of different measure, but their sum is always 1080. For the hexagon what is the sum of the exterior angles of the polygon? Match the number of triangles formed or the interior angle sum to each regular polygon. An equilateral triangle and a regular hexagon have equal perimeters. Thus there are $(n-4)$ different triangles with only one side $A_1A_2$ common. 820 Math Experts 92% Recurring customers 101064 Orders Deliver Get Homework Help Challenge Level. Here we are choosing triangles with two sides common to the polygon. I got an upgrade, but the explanations aren't very clear. The sum of the exterior angles of an octagon is 360. Therefore, there are 20 diagonals in an octagon. The perimeter of a polygon is the total length of its boundary. For the sides, any value is accepted as long as they are all the same. How many lines of symmetry does an equilateral triangle have? Number of triangles contained in a hexagon = 6 - 2 = 4. How many non-congruent triangles can be formed by the vertices of a regular polygon of $n$ sides. Can't believe its free would even be willing to pay for a pro version of this app. As for the angles, a regular hexagon requires that all angles are equal and sum up to 720, which means that each individual angle must be 120. Clear up mathematic problems This also explains why squares and hexagons tessellate, but other polygons like pentagons won't. A square will form corners where 4 squares meet, since 4 90 = 360. The sum of the interior angles of an octagon is 1080, and the sum of its exterior angles is 360. What are the values of X and Y that make these triangles. Step-by-step explanation: For the first vertex of the triangle, there are 8 choice possibilities, for the second vertex, there are 7 possibilities and for the third vertex, there are 6 choice possibilities. ABC=PQR x-10o= Is it suspicious or odd to stand by the gate of a GA airport watching the planes? Was verwendet Harry Styles fr seine Haare? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Since a regular hexagon is comprised of six equilateral triangles, the In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Pentagon = 5 sides, 5 diagonal formed, 40 triangles formed 4.) We have discussed all the parameters of the calculator, but for the sake of clarity and completeness, we will now go over them briefly: Everyone loves a good real-world application, and hexagons are definitely one of the most used polygons in the world. Depending upon the sides and angles, an octagon is classified into the following categories: The octagon that has eight equal sides and eight equal angles is known as a regular octagon. What is a reasonable budget for Facebook ads? a) 1 b) 2 c) 3 d) 4. The sum of the interior angles of an octagon is 1080 and the sum of its exterior angles is 360. Can a hexagon be divided into 4 triangles? b. If the triangle's area is 4, what is the area of the hexagon? $$=\frac{n(n-4)(n-5)}{6}$$, The number of triangles with two sides common with regular polygon having $n$ number of sides $$=\text{number of sides in polygon}=n$$ Easy Solution Verified by Toppr There are 6 vertices of a hexagon. Answer is 6. A regular octagon is an example of a convex octagon. Therefore, 8*9*7= 336 there are possible triangles inside the octagon. These restrictions mean that, for a regular hexagon, calculating the perimeter is so easy that you don't even need to use the perimeter of a polygon calculator if you know a bit of math. There is a space between all of the triangles, so theres 3 on the left and 3 on. Therefore, the formula that is used to find its perimeter is, Perimeter of an octagon = Sum of all its sides, Perimeter of a regular octagon = 8a (Where 'a' is the length of one side of the octagon). Thus, there are 8 x 4 = 32 such triangles. 3 How many triangles can be formed by joining the vertices of Heptagonal? 2. Let's draw the angle bisectors of two adjacent interior angles, and call their point of intersection O: It is easy to see that OAB is equilateral - mBAF = mABC = 120, as interior angles of a regular hexagon. All other trademarks and copyrights are the property of their respective owners. If you are having trouble with maths I really suggest you to get this app, used this several times, and can officially say it's a lifesaver. How many triangles can be formed with the vertices of a regular pentagon? Octagon is an eight-sided two-dimensional geometrical figure. This is called the angle sum property of triangle. Connect and share knowledge within a single location that is structured and easy to search. The formula for the area of a polygon is always the same no matter how many sides it has as long as it is a regular polygon: Just as a reminder, the apothem is the distance between the midpoint of any side and the center. We can do this by $nC1$ ways . Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. The number of inverted triangles with a peak in the downward direction of size K present in size N equals to ( (N - 2K + 1) * (N - 2K + 2))/2. For the regular triangle, all sides are of the same length, which is the length of the side of the hexagon they form. Thus, 6 triangles can come together at every point because 6 60 = 360. We will dive a bit deeper into such shape later on when we deal with how to find the area of a hexagon. Sum of interior angles of a polygon = (n - 2) 180 = (8 - 2) 180 = 1080. using the hexagon definition. This can be done in 6 C 3 ways. So we can say that thanks to regular hexagons, we can see better, further, and more clearly than we could have ever done with only one-piece lenses or mirrors. Regular or not? For example, if one side of a regular octagon is 6 units, let us find the area of the octagon. No triangle. What is the hexagon's area? A fascinating example in this video is that of the soap bubbles. Puzzling Pentacle. 2 All 4 angles inside any quadrilateral add to 360. In a regular octagon, each interior angle is 135. 3! How many maximum number of isosceles triangle are possible in a regular polygon of $n$ sides? There are 8 interior angles and 8 respective exterior angles in an octagon. Here, the perimeter is given as 160 units. Therefore, number of triangles = 6 C 3= 3!3!6! Another important property of regular hexagons is that they can fill a surface with no gaps between them (along with regular triangles and squares). quadrilateral = 4 sides, 2 diagonal formed, 8 triangles formed, 3.) If you preorder a special airline meal (e.g. But for a regular hexagon, things are not so easy since we have to make sure all the sides are of the same length. One triangle is formed by selecting a group of 3 vertices from given 6 vertices. if the length of the hypotenuse of one of those triangles is { 18 \sqrt3. We sometimes define a regular hexagon. To determine the area of a hexagon with perimeter P: You could also go directly from P to the area by using the formula area = 3 P / 24. Writing Versatility. If the shape is closed, made up of straight lines, and has eight sides, we call it an octagon. Observe the question carefully and find out the length of side of a regular hexagon. Pentagon = 5 sides, 5 diagonal formed, 40 triangles formed, 4.) Let us discuss in detail about the triangle types. 3 This rule works because two triangles can be drawn inside the shapes. We will show you how to work with Hexagon has how many parallel sides in this blog post. The easiest way to find a hexagon side, area Hexagon tiles and real-world uses of the 6-sided polygon, Honeycomb pattern why the 6-sided shape is so prevalent in nature. rev2023.3.3.43278. How many equilateral triangles are there? How do I align things in the following tabular environment? How many distinct diagonals does a hexagon have? Step-by-step explanation: For the first vertex of the triangle, there are 8 choice possibilities, for the second vertex, there are 7 possibilities and for the third vertex, there are 6 choice possibilities. Thus there are $(n-4)$ different triangles with each of $n$ sides common. In very much the same way an octagon is defined as having 8 angles, a hexagonal shape is technically defined as having 6 angles, which conversely means that (as you can see in the picture above) the hexagonal shape is always a 6-sided shape. The interior angles are greater than 180, that is, at least one angle is a reflex angle. A quadrilateral is a closed shape with four vertices and four sides and an octagon has 8 sides and 8 vertices. That is the reason why it is called an octagon. Diagonals Triangle 3 d3= 0 Quadrilateral 4 d4=2 Pentagon 5 d5= 2+3=5 Hexagon 6 d6= 2+3+4=9. In case of a regular octagon, we use the formula, Perimeter of regular octagon = 8 Side length, because all the sides are of equal length. Thus, for each of the 8 vertices you can draw 5 diagonals and hence there can be 5 8 = 40 diagonals. What is the area of a regular hexagon inscribed in a circle of So, the area of hexagon will be 6 times this area because the hexagon is divided into 6 equilateral triangles. Using that, you get (n choose 3) as the number of possible triangles that can be formed by the vertices of a regular polygon of n sides. You can view it as the height of the equilateral triangle formed by taking one side and two radii of the hexagon (each of the colored areas in the image above). The best answers are voted up and rise to the top, Not the answer you're looking for? How many sides does a triangular prism have? Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. For example, if 7 sides of an octagon sum up to 36 units, and the perimeter of the octagon is 42 units, then the missing side = Perimeter - Sum of the remaining sides, which means, 42 - 36 = 6 units. Thus, the length of each side = 160 8 = 20 units. 3! ): Drawing all 9 diagonals of a regular hexagon divides it into 24 regions, of which 6 are quadrilaterals, leaving 18 triangles. Hexagon. The octagon in which one of the angles points inwards is a concave octagon. All triangles are formed by the intersection of three diagonals at three different points. How many triangles can be drawn in a heptagon? There are eight sides in an octagon. In each of the following five figures, a sample triangle is highlighted. A regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. ABC, ACD and ADE. On the circumference there were 6 and then 12 on the second one. This result is because the volume of a sphere is the largest of any other object for a given surface area. If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed? 1. How many obtuse angles does a rhombus have. Correct option is A) Since decagon has 10 sides, clearly 10 vertices of decagon say A 1,A 2,A 3,.,A 10. How many triangles make a hexagon? Substituting the value of 'a' in the formula, we get, Area of a Regular Octagon = 2a2(1 + 2) = 2 (5)2 (1 + 2) = 50 (1 + 2) = 120.71 square units. Complete step by step solution: The number of vertices in a hexagon is 6 . THE SUM OF THE INTERIOR ANGLES OF A TRIANGLE IS 180. For the regular hexagon, these triangles are equilateral triangles. No, all octagons need not have equal sides. How many triangles exist if alpha = 117 degrees, a = 13, and b = 24? We are, of course, talking of our almighty hexagon. Why are physically impossible and logically impossible concepts considered separate in terms of probability? Since the interior angles of each triangle totals 180, the hexagon's interior angles will total 4(180), or 720. How many diagonals does a 20 sided polygon have? How many sides does a scalene triangle have? What am I doing wrong here in the PlotLegends specification? How many different triangles can be formed having a perimeter of 7 units if each side must have integral length? No tracking or performance measurement cookies were served with this page. Therefore, number of triangles $N_2$ having two sides common with that of the polygon $$N_2=\color{blue}{n}$$ We can find the area of a regular hexagon with The sum of all interior angles of a triangle will always add up to 180 degrees. How many triangles can be formed from the vertices of a polygon of $n$ sides if the triangle and the polygon may not share sides? In nature, as we have mentioned, there are plenty of examples of hexagonal formations, mostly due to stress and tensions in the material. It is an octagon with unequal sides and angles. Hence no of triangles= n We need to form triangles by joining the vertices of a hexagon To form a triangle we require 3 vertices. How many different triangles, if any, can be drawn with one 90 degrees angle and side lengths of 5 cm and 12 cm? The interior angles of a triangle always sum to 180. A regular hexagon is a hexagon in which all of its sides have equal length. How are relationships affected by technology? As shown in attachment if we a diagonals from one vertex then only 3 diagonals are drawn which results into 4 triangles. :)) Share Cite Follow answered Mar 6, 2013 at 19:45 user65382 1 Add a comment 0 3! The easiest way is to use our hexagon calculator, which includes a built-in area conversion tool. This cookie is set by GDPR Cookie Consent plugin. Regular hexagon is when all angles are equal and all sides are equal. What do a triangle and a hexagon have in common? The best way to counteract this is to build telescopes as enormous as possible. In a regular hexagon three diagonals pass through the centre. Thus, there are 20 diagonals in a regular octagon. The three sides of a triangle have length a, b and c . For a full description of the importance and advantages of regular hexagons, we recommend watching this video. This can be calculated using the formula, number of diagonals in a polygon = 1/2 n (n - 3), where n = number of sides of the polygon. Okei, the point I did miss here is the definion of regular hexagon. This effect is called the red shift. (and how can I add comments here instead of only answers? 3 More answers below We also use third-party cookies that help us analyze and understand how you use this website. The sum of all the interior angles in an octagon is always 1080. In a hexagon there are six sides. How many obtuse angles does a square have? The formula to calculate the area of a regular hexagon with side length s: (3 3 s^2)/2. How many obtuse angles can a isosceles triangle have? My code is GPL licensed, can I issue a license to have my code be distributed in a specific MIT licensed project? How many parallelograms are in a hexagonal prism? Joining each vertex with its opposite, the regular hexagon is divided into six equilateral triangles. An octagon in which the sides and angles are not congruent is an irregular octagon. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? Can archive.org's Wayback Machine ignore some query terms? Thus there are $n$ pairs of alternate & consecutive vertices to get $n$ different triangles with two sides common (Above fig-2 shows $n$ st. lines of different colors to join alternate & consecutive vertices). Therefore, there are 20 diagonals in an octagon. How many triangles can be formed by using vertices from amongst these seven points? The 120 angle is the most mechanically stable of all, and coincidentally it is also the angle at which the sides meet at the vertices when we line up hexagons side by side. The problem is that making a one-piece lens or mirror larger than a couple of meters is almost impossible, not to talk about the issues with logistics. 1) no of triangles with only one side common with polygon, if we take any one side of a n-sided polygon and join its vertices to the remaining vertices, except the vertices adjacent to vertices of the line taken above, we get triangles with only one side as common i.e. THE PENTAGON HAS 3 TRIANGLES. These tricks involve using other polygons such as squares, triangles and even parallelograms. Indulging in rote learning, you are likely to forget concepts. How many triangles can be formed by the vertices of a regular polygon of $n$ sides? Using a very simple formula, you can calculate the number of diagonals in any polygon, whether it has 4 sides or 4,000 sides. How many degrees are in each angle of a regular hexagon and a regular octagon? =7*5=35.. :)). satisfaction rating 4.7/5. Using this, we can start with the maths: Where A means the area of each of the equilateral triangles in which we have divided the hexagon. r! This cookie is set by GDPR Cookie Consent plugin. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Learn more about Stack Overflow the company, and our products. The perimeter of a hexagon can be calculated Passing Rate Deal with math problem Solve math equation . How many triangles exist in the diagonals intersections of an heptagon? This is because of the relationship apothem = 3 side. The sum of the interior angles of an octagon can be calculated with the help of the following formula where 'n' represents the number of sides (8) in an octagon. The interior angles add up to 1080 and the exterior angles add up to 360. How about an isosceles triangle which is not equilateral? Do new devs get fired if they can't solve a certain bug? This fact is true for all hexagons since it is their defining feature. One of the most valuable uses of hexagons in the modern era, closely related to the one we've talked about in photography, is in astronomy. The area of an octagon is the total space occupied by it. For example, in a hexagon, the total sides are 6. Can you pick flowers on the side of the road? Q: In a convex 22-gon, how many diagonals can be drawn from one vertex? In a convex 22-gon, how many. What is the difference between Mera and Mujhe? The sum of the given sides can be reduced from the perimeter to get the value of the unknown side. How many different triangles can be formed with the vertices of an octagon? The cookies is used to store the user consent for the cookies in the category "Necessary". Since a regular hexagon is comprised of six equilateral triangles, the . How to react to a students panic attack in an oral exam? If all of the diagonals are drawn from a vertex of a pentagon, find how many triangles are formed. $\implies$ can also be written as sum of no of triangles formed in the following three cases, 1) no of triangles with only one side common with polygon, Therefore, the length of each side of the octagon is 20 units. What is the point of Thrower's Bandolier? The diagonals of an octagon separate its interior into 6 triangles Properties of regular octagons Symmetry The regular octagon features eight axes of symmetry. . Let us choose triangles with $1$ side common with the polygon. How many angles does an obtuse triangle have? https://www.youtube.com/watch?v=MGZLkU96ETY. Below is the implementation of the above approach: C++ #include <iostream> using namespace std; int No_of_Triangle (int N, int K) { if (N < K) return -1; else { int Tri_up = 0; Tri_up = ( (N - K + 1) In a regular octagon, all the sides are equal in length, and all the angles are equal in measure. For those who want to know how to do this by hand, we will explain how to find the area of a regular hexagon with and without the hexagon area formula. How many angles does a rectangular-based pyramid have? How many triangle can be draw in a hexagon by joining their vertices? Area of octagon = 2a2(1 + 2), Substituting the value of 'a' = 6, Area of octagon = 2 (62) (1 + 2) = 72 (1 + 2) = 173.8 square units. How many vertices does a triangular prism have? How many vertices does a right triangle have? Most people on Quora agreed that the answer is 24, with each row containing six triangles. Great learning in high school using simple cues. We can, however, name a few places where one can find regular hexagonal patterns in nature: In a hexagon, the apothem is the distance between the midpoint of any side and the center of the hexagon. selection of 3 points from n points = n(C)3 If you draw all diagonals of a regular hexagon you have $3 \cdot 6 = 18$ possible triangles, but 3 of those are the same (the equilateral triangles) so we have $18 - 3 = 15$ possible triangles. If $N_0$ is the number of triangles having no side common with that of the polygon then we have $$N=N_0+N_1+N_2$$ $$N_0=N-N_1-N_2$$ $$=\binom{n}{3}-(n-4)n-n$$ $$=\color{}{\frac{n(n-1)(n-2)}{6}-n^2+3n}$$ If you want to get exotic, you can play around with other different shapes. There is a space between all of the triangles, so theres 3 on the left and 3 on Enhance your educational performance Fill order form . Using this calculator is as simple as it can possibly get with only one of the parameters needed to calculate all others and includes a built-in length conversion tool for each of them. Answer: Therefore, the number of triangles, which can be formed by joining the vertices of a hexagon is 20. This pattern repeats within the regular triangular tiling. copyright 2003-2023 Homework.Study.com. How many sides does an equilateral triangle have? The next case is common to all polygons, but it is still interesting to see. Puzzling Pentacle. We are not permitting internet traffic to Byjus website from countries within European Union at this time. Here is one interpretation (which is probably not the one intended, but who knows?