Question

A regular hexagon has a radius of 20in. What is the approximate area of the hexagon

Answer 1

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

Answer 2

Answer:

A= 1038 in²

Step-by-step explanation: