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A square 10cm on each side has four quarter circles drawn with centers at the four corners. How many square centimeters are in the area of the shaded region? Express your answer in terms of $\pi$.

 Apr 5, 2020
 #1
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The answer is 100-25pi

 

laughlaughlaugh

 Apr 5, 2020
 #3
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Hint:

Shaded = Square - 4 quarter circle

4 quarter circles = full circle

 

Full circle area = \({\pi}r^2\)

Square area = \(s^2\)

 

In this case, the side of the square is twice the radius of the circle.

 Apr 5, 2020

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