Question

Find the area of shaded region where area drawn with center A,B,C and D intersect in pairs at mid points of P,Q,R and S of the sides AB, BC CD and DA respectively of the square ABCD of side 12cm. (π = 3.14)

Answer 1

Answer attached with this

Answer 2

Answers

monisharmarts

Monisharmarts · Ambitious

Given :

Side of square = 12 cm

In figure, Four quadrants are included in the four sides of the square PAS, PBQ,RCQ, RDS.

Radius of the circle(r) = 12/2 cm = 6 cm

Area of the square ABCD = side × side = 12² = 144 cm²

Area of 1 quadrant = (π r²)/4 cm² = (3.14 × 6²/4 cm²

= 3.14 × 36 / 4 = 3.14 × 9 = 28.26cm²

Area of 4 quadrants = 4 × 28.26 cm² = 113.04 cm²

Area of the shaded region = Area of the square ABCD – Area of 4 quadrants

= 144 cm² – 113.04 cm² = 30.96 cm²

Hence, the area of the shaded region is 30.96 cm².

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