# The Number of Diagonals that Can Be Drawn by Joining the Vertices of an Octagon is (A) 20 (B) 28 (C) 8 (D) 16 - Mathematics

MCQ

The number of diagonals that can be drawn by joining the vertices of an octagon is

•  20

• 28

•  8

• 16

#### Solution

20
An octagon has 8 vertices.
The number of diagonals of a polygon is given by

$\frac{n \left( n - 3 \right)}{2}$ .
∴ Number of diagonals of an octagon =  $\frac{8 \left( 8 - 3 \right)}{2} = 20$
Concept: Combination
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Q 22 | Page 26

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