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Maths-

General

Easy

Question

Find the number of diagonals of a 100-gon.

5000
2580
4850
5480

hint Hint:

A hundred-sided polygon is known as 100-gon or hectogon. The sum of exterior angle of a 100-gon is 360 degrees.

The correct answer is: 4850

Explanation:

We have been given in the question the information about a polygon that is 100-gon having 100 sides

We have to find the number of diagonals of the 100-gon from the four options provided.

Step 1 of 1:
We have to find the number of diagonals of a 100-gon
We know that the number of diagonal in n - side polygon = $fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction$
Here, n = 100
So, Number of diagonals will be
$equals fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction$
$equals fraction numerator 100 left parenthesis 100 minus 3 right parenthesis over denominator 2 end fraction$
$equals 50 cross times 97$
= 4850

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