Find the area of the regular 20gon with radius 13 mm.
Mathematics
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Question
Find the area of the regular 20gon with radius 13 mm.
1 Answer

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Inside a circle with a radius of 2mm, a 20sided regular polygon is inscribed.
Each of the 20 vertices is on the circuference of the circle, at 2 mm from the center.
Since the polygon is a regular 20gon, all the sides an angles have the same measure, and you could connect all the vertices to the center and split that 20gon into 20 isosceles triangles with 2mm legs.
As we are splitting, let's draw a line from the middle of each side to the center, spiltting each isosceles triangle into 2 right triangles.
The area of the 20gon, made up of 40 of those little right triangles, will be 12.36mm^2