Question

The number of diagonals in a septagon is ______.

Options

• 21

• 42

• 7

• 14

Answer 1

The number of diagonals in a septagon is 14.

Explanation:

We know that, if a polygon has n sides, then

Number of diagonals = n(n – 3)/2

A septagon is a polygon having seven sides, i.e. n = 7

Number of diagonals in septagon = 7(7 – 3)/2 = 14

Note: A diagonal is a line segment joining two non-consecutive vertices of a polygon.