What is the number of diagonals of a polygon?

The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

What polygons has 8 sides?

In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, “eight angles”) is an eight-sided polygon or 8-gon. A regular octagon has Schläfli symbol {8} and can also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}.

What is the number of diagonals in a polygon of 9 sides?

For any polygon with n sides, total number of diagonals possible= nC2-n, which can be simplified further to (n*(n-3))/2. Thus, total diagonals=9*6/2 = 27.

What is the number of diagonals in a polygon of 8 sides also find the sum of all interior angles of the polygon?

20 diagonals
It has eight sides, eight vertices and eight interior angles. It has 20 diagonals. The sum of all interior angles is 1080°.

What is the angle sum of a convex polygon with 8 sides?

An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

How many diagonals are there in pentagon *?

pentagon has 5 diagonals on the inside of the shape. The diagonals of any poygon can be calculated using the formula n×2(n−3) where n is the number of sides, in case of a pentagon which “n” will be 5, the formula as expected is equal to 5.

Does an octagon have 8 equal sides?

The octagon having eight congruent sides and angles is known as a regular octagon. In a regular octagon, all the sides are equal in length, and all the angles are equal in measure. The interior angles add up to 1080° and the exterior angles add up to 360°. The interior angle at each vertex of a regular octagon is 135°.

How many diagonals are there in a polygon having 12 sides Class 8?

54 diagonals
There are 54 diagonals in a dodecagon. These diagonals can be calculated with the help of the formula: 1/2 × n × (n-3), where n = number of sides. In this case, n = 12.

How many diagonals are there in a polygon of 8 sides and 10 sides?

an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals.

What is the name of a regular polygon of 3 sides?

equilateral triangle
(i) A regular polygon of 3 sides is called an equilateral triangle.