Find the area of the regular polygon hexagon with a radius of 5 in?

Solution:

Given, the radius of regular hexagon is 5 in

We have to find the area of the regular hexagon.

The area of a regular hexagon with side ‘a’ units is given by

A = 3√3a²/2

We know that the radius of a regular hexagon is equal to the length of each side of the hexagon.

So, r = a = 5 in

Now, A = 3√3(5)²/2

= 3√3(25)/2

= 75√3/2

= 75(1.732)/2

= 129.9/2

= 64.95 in²

Therefore, the required area is 64.95 in².

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Find the area of the regular polygon hexagon with a radius of 5 in?

Summary:

The area of the regular polygon hexagon with a radius of 5 in is 64.95 in².