Advertisement Remove all ads

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

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ

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

Options

  •  20

  • 28

  •  8

  • 16

Advertisement Remove all ads

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
  Is there an error in this question or solution?

APPEARS IN

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

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×