   Chapter 2.5, Problem 5E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
3 views

# Find the total number of diagonals for a polygon of n sides if: a) n = 5 b) n = 10

To determine

a)

The total number of diagonals for the polygon with given sides.

Explanation

Given:

The number of sides of the polygon is 5.

Formula used:

The formula to calculate the total number of diagonals in a polygon is given by,

D=n(n3)2

Here, D is the total number of diagonals in the polygon and n is the number of sides of the polygon.

Definition:

A polygon which is equiangular and equilateral is called regular polygon.

Calculation:

Calculate the total number of diagonals in the polygon.

Substitute 5 for n in the above mentioned formula to calculate the number of diagonals

To determine

b)

The total number of diagonals for the polygon with given sides.

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