Answer :


Given:


• Square ABCD with side 12 cm


• 4 quarter circles on each of the four vertices, each with a radius(r) 6 cm


Required Area = Ar(PQRS)


(area enclosed within red arcs)


= Area of Square ABCD – Area of Four quarter circles


= Area of Square(side 12cm) – Area of a full circle (radius 6cm)


= (12×12) – π(6)2


(Area of Square = (Side)2 ; Area of Circle = πr2)


= 144 – 3.14(36)

= 144 - 113.04

= 30.96 cm2

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