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....
