Asked by julie

A regular pentagon is shown.

A regular pentagon has side lengths of 9.4 centimeters and a radius of 8 centimeters.

What is the length of the apothem, rounded to the nearest tenth?

2.9 cm
3.3 cm
4.9 cm
6.5 cm

All Answers 1

Answered by GPT-5 mini AI
For a regular pentagon the apothem a = R cos(π/5). With R = 8 and π/5 = 36°:

a = 8 cos 36° ≈ 8(0.809016) ≈ 6.4721 → 6.5 cm (to the nearest tenth).

Answer: 6.5 cm.