geometry
posted by bart on .
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.

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