Answer :

side of square (a) = 8 cm


from the fig. we can see that of circle is placed at four parts of the square. if we join them a circle is formed with radius (r1) 2 cm


Another circle is placed at centre of the square with radius (r2) 2 cm


Area of colored region = Area of square - Area of circles at 4 corners + Area of circle at centre


= a2 – (4 × ( × r12) + (π r22))


= a2 – (π r12 + π r22)


= 82 – (3.14 (22 + 22))


= 38.88 cm2


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