# geometry

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I need to find the area of the shaded portion of a circle with a square in the middle all corners touching the circle. My square has a line measurement of 10 cm. I know that the area of the square is 100 cm(10 x 10). But I am not sure what to do with the circle. Is the diameter 10 cm thus I take 10 x 3.14 minus the square area? I just do not understand.

• geometry -

None of the sides of the square is the diameter. The diameter is the line connecting two opposite corners -- in other words the hypotenuse of the two triangles formed. Use the Pythagorean theorem to find this diagonal line.

a^2 + b^2 = c^2
10^2 + 10^2 = c^2
100 + 100 = 200

The square root of 200 = 14.142

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