Math CentralQuandaries & Queries


Question from Nicole, a student:

How do you find the shaded region of a circle if an unshaded equilateral triangle in inscribed in it. The only other things I know about the problem are that the side lengths of the equilateral triangle are 14 inches.

Hi Nicole,

You need to find the areas of the triangle and the circle and then the area of the shaded region is their difference. To find the area of the triangle look at my response to a question from Ginny about the area of an equilateral triangle.

Can you see how to use a similar construction to determine the radius of the circle?


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