   Chapter 2.5, Problem 6E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the total number of diagonals for a polygon of n sides if: a) n = 6 b) n = 8

To determine

a)

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

Explanation

Given:

The number of sides of the polygon is 6.

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 6 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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