# Nitu has drawn a square ABCD of which length of each side as 12 cm. My sister has drawn four circular arcs with length of radius 6 cm. centering A, B, C, D like picture besides and she has designed some portion. Let us write by calculating the area of shaded region.

Given, each side of square = 12cm

Area of Square ABCD = side2

(12)2

144cm2

r = 6 cm (given)

Now, the sum of the area of the four quadrants at the four corners of the square

4 × area of each quadrant ( area of circle = πr2where r is the radius)

113.14cm2

= Area of square, ABCD - sum of the areas of four quadrants at the four corners of the square

144 – 113 .14 cm2

= 30 .86 cm2

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