In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

Side of square = 28 cm and radius of each circle = 28/2 cm
Area of the shaded region
= Area of the square + Area of the two circles − Area of the two quadrants
$space equals space left parenthesis 28 right parenthesis squared space plus space 2 space straight x space straight pi space straight x open parentheses 28 over 2 close parentheses squared space minus 2 space straight x 1 fourth space straight x space straight pi space straight x space open parentheses 28 over 2 close parentheses squared space equals space left parenthesis 28 right parenthesis squared space plus space 3 over 2 space straight x space straight pi space straight x open parentheses 28 over 2 close parentheses squared space equals space left parenthesis 28 right parenthesis squared space left parenthesis 1 plus 3 over 2 space straight x 22 over 7 space straight x 1 half space straight x 1 half right parenthesis space equals space left parenthesis 28 right parenthesis squared space open parentheses 1 plus 33 over 28 close parentheses space equals space left parenthesis 28 right parenthesis squared space straight x space 61 over 28 space equals space 28 space straight x 61 space equals space 1708 space cm squared$

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