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777dan777 [17]
3 years ago
15

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

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

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)

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