Hello, arenkun!

A circle is circumscribed about a hexagon.

The area outside the hexagon but inside the circle is 15 mē.

(a) Compute the radius of the circle.

(b) Compute the area of the hexagon. Code:

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The center of the circle is

The vertices of the hexagon are: .

Draw chords: .

. . .and radii: .

Assuming it is a *regular* hexagon, all the chords and radii are equal to the radius

The area of the circle is: .

The hexagon is comprised of six congruent equilateral triangles of side

The area of one triangle is: .

The area of the hexagon is: .

The difference of the areas is 15 mē: .

. .

Hence: .

Therefore: .

The area of the hexagon is: .