Find the area of the regular 30-gon with radius 10 mm.

A~ mm2

(Do not round until the final answer. Then round to the nearest tenth as needed.)

Question

Mathematics

Reece Nixon

28 May, 02:21

Find the area of the regular 30-gon with radius 10 mm.

A~ mm2

(Do not round until the final answer. Then round to the nearest tenth as needed.)

+5

Answers (1)

Know the Answer?

Parker Shepherd · Answer 1

This polygon is comprised of 30 congruent triangles, each with a central angle of 12°

And using trig, each has an area of ...

(1/2) (20) ^2 sin (12°) = 41.5823381636 sq ft

So, 30 times this = 1247.470144908 sq ft = 1247.5 sq ft (rounded to the nearest tenth)

Find the area of the regular 30-gon with radius 10 mm.A~ mm2(Do not round until the final answer. Then round to the nearest tenth as needed.)

Find the area of the regular 30-gon with radius 10 mm.

A~ mm2

(Do not round until the final answer. Then round to the nearest tenth as needed.)