SOLUTION: Find the area of shaded portion ...when in a square there is a circle and the radius of a circle is 7cm?

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Question 1027543: Find the area of shaded portion ...when in a square there is a circle and the radius of a circle is 7cm?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Which is the shaded region.
Outside the square?
If so, the diagonal of the square is equal to the diameter of the circle.
D%5Bs%5D=D%5Bc%5D
S%5Bs%5D=D%5Bs%5D%2Fsqrt%282%29
A%5Bs%5D=S%5Bs%5D%5E2=D%5Bs%5D%5E2%2F2
A%5Bc%5D=%28pi%2F4%29D%5Bc%5D%5E2
So then,
A=A%5Bc%5D-A%5Bs%5D
A=%28pi%2F4%29D%5Bc%5D%5E2-D%5Bc%5D%5E2%2F2
A=D%5Bc%5D%5E2%28pi%2F4-1%2F2%29
A=%282R%5Bc%5D%29%5E2%28pi%2F4-1%2F2%29
A=R%5Bc%5D%5E2%28pi-2%29
You can substitute for R to get the final answer.