A regular pentagon is inscribed inside a circle. The perimeter of the pentagon is 95 units.

A: What is the approximate measure of the apothem of the pentagon?

B: What is the approximate area of the pentagon?

Choose only one answer each for parts A and B.

A: 6.90 A: 13.08 A: 16.16 A: 11.74 B: 328 B: 768 B: 558 B: 621

Question

Mathematics

Doc

19 May, 23:19

A regular pentagon is inscribed inside a circle. The perimeter of the pentagon is 95 units.

A: What is the approximate measure of the apothem of the pentagon?

B: What is the approximate area of the pentagon?

Choose only one answer each for parts A and B.

A: 6.90 A: 13.08 A: 16.16 A: 11.74 B: 328 B: 768 B: 558 B: 621

+1

Answers (1)

Know the Answer?

Carlos Dominguez · Answer 1

Side length = 95/5 = 19

apothem = side length / 2 * tan (180/5)

apothem = 19 / 2 * tan (36)

apothem = 19 / 2 * 0.72654

apothem = 13.0756737413

area = (5 * side length * apothem) / 2

area = (5 * 19 * 13.07567) / 2

area = 621.094325