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

Holden Wheeler

Mathematics

28 April, 18:33

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.)

+2

Answers (1)

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Kaylah · 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.)