Question

How many diagonals are there in a 13 sided polygon?

Answer 1

13 sided:13 x 5 = 65

therefore,,  there are 65 diagonals in a 13 sided polygon.

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Answer 2

The number of diagonals in a 13-sided polygon is equal to 65.

Step-by-step Explanation

Given: A 13-sided polygon

To be found: To find the number of diagonals in the given polygon.

Formula used: The formula to calculate the number of diagonals in a polygon is given as,

Number of Diagonals $=\frac{n(n-3)}{2}$, where $n=$ the total number of sides of the polygon.

Solution:

We have a 13-sided polygon, which means the total number of sides of the given polygon is 13.

$\implies n=13$

Using the above formula to find the number of diagonals in the given polygon, we get

Number of Diagonals $=\frac{13(13-3)}{2}=\frac{13\times 10}{2}$

$\implies$ Number of Diagonals $=\frac{130}{2}=65$

Therefore, there are 65 diagonals in a 13-sided polygon.

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