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Maths-

General

Easy

Question

Find the number of diagonals of a 50-gon

2175
1175
1500
2350

hint Hint:

A 50-gon is a fifty-sided polygon also known as pentacontagon.
The sum of the interior angles of a 50-gon is 8640 degrees.

The correct answer is: 1175

Explanation:

We have been given in the question about a polygon that is 50-gon.

We have to find the number of diagonals of a 50-gon from the four options provided.

Step 1 of 1:
We have to find the number of diagonals of a 50-gon
We know that the number of diagonal in n - side polygon $equals$ $fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction$
Here, n = 50
So, Number of diagonals will be
$equals fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction$
$equals fraction numerator 50 left parenthesis 50 minus 3 right parenthesis over denominator 2 end fraction$
= 25 × 47
= 1175

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