A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon? 600 in. 2 1,038 in. 2 1,200 in. 2 2,076 in. 2

The answer is 1,038 in. 2.

The area of the regular hexagon (A) is equal to 6 areas of equilateral triangles (A1):

A = 6A1

A1 = √3 * a²/4

A = 6√3 * a²/4

We know that a = 20 in.

Therefore:

A = 6√3 * 20²/4 = 6√3 * 400/4 = 600√3 ≈ 1,038 in²