No strings attached, no credit card required. How many diagonals can an octagon have? See Answer. Penny : Go to Math Central Y9. Asked by Wiki User. Any polygon has n(n-3)/2 diagonals, where n is the number of sides. a) 5! In how many ways 6 boys and 6 girls sit around the camp fire, such that no two girls sit adjacent to each other? You can do the same for a regular octagon. Octagon Formulas. As you can see, diagonal 2 is parallel to side A and diagonal 4 is parallel to side B. SOLUTION Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and How many diagonals are there in an octagon? We'll go with a polygon that has 8 sides (which is called an octagon), like this: Now, this polygon, because it has eight sides, also has eight vertices. main-qimg-573a958b0d99881264dee10d716934b7.png [ 140.01 KiB | Viewed 3065 times ], If you found this post useful, please let me know by pressing the Kudos Button, Brent Hanneson Creator of greenlighttestprep.com, New Error Log with Ability and Accuracy by Tapas3016, What is the product of the factors of twice the sum of the roots of th, It has been commonly accepted for some time now that certain scenes in, If a c = 17, b a = 12 and 2a + b + 3c = 7, then what is the value. 1. (a) 8 (b) 16 (c) 18 (d) 20. polygons; class-8; Share It On Facebook Twitter Email. N How many diagonals has a 15-sided polygon? (LogOut/ answered May 4, 2020 by Nidhi01 (59.8k points) selected May 5, 2020 by Vevek01 . an octagon has 8 (83)/2 = 85/2 = 20 diagonals. was asked on May 31 2017. An octagon has 20 diagonals. N 4. Y21. A look at the diagram above shows that one of the diagonals constructed is longer than the others. A heptagon has 14 diagonals. Y 27. An Octagon has 20 diagonals in total. Top Answer. I am going to assume that you are dealing with a regular octagon. How many ways can we choose two vertices from a set of six vertices of a hexagon? Approximately 20 diagonals are there in the regular octagon. Change), You are commenting using your Facebook account. (LogOut/ Total number of diagonals = 90. Hi, Here is a drawing of a regular hexagon in orange with all its diagonals drawn in red. Diagonals of a regular octagon In total, an octagon has 20 diagonals; the longest ones are on its axes of symmetry and they meet at the central point, O, which is also the origin of symmetry. Number of diagonals in an octagon However, we can use logic to tell us that in a regular octagon we will have three different lengths of diagonals. Correct answers: 1 question: How many diagonals can be drawn from one vertex of a regular octagon? Answer: 2 on a question How many diagonals can be drawn from a vertex of an octagon? Let the number of intersections be . Y8. N 2. There is actually a really simple formula to figuring out the diagonals in any polygon: (n-3) x (n/2). Official Answer and Stats are available only to registered users. So in this case :7(7 - 3)/2 = 74/2 = 14 diagonals. How many more diagonals are in an octagon than in a hexagon? Find the number of sides of a polygon with 90 diagonals? In this videos I told you a trick for short cut to find number of Diagonals in a Polygon. How many parallel diagonals are there in an octagon? Source: NCCTM Mathematics Teacher. Y View solution. This formula works, of course, but the question is one of those in my textbook designated to be solved using combinations. Math, 13.08.2020 04:07 mohit81281. N15. Y10.