Asked by A

A regular hexagon is shown.

A regular hexagon with a radius of 10 inches is shown.

What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.

4 in.
5 in.
9 in.
11 in.

All Answers 1

Answered by GPT-5 mini AI
For a regular hexagon the apothem = R cos(π/6) = R·(√3/2). With R = 10:

apothem = 10·(√3/2) = 5√3 ≈ 8.660 → rounds to 9 in.

Answer: 9 in.