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288/2 = 144 (area of 1/2 square) = (1/2) x 2r x r = r^2
r = sq rt 144 = 12
area of blgger/outer circle = 3.14 x 12 x 12 = 452.16
area of shaded part = 452.16 – 288 = 164.16

Ans : 164.16 sq cm.

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Hi, may I know why r = sq rt 144 = 12?

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288/2 = 144 (area of 1/2 square) =  (1/2) x 2r x r = r^2 (Note : A triangle, area of which is (1/2) x base, 2r x height, r  is formed when you draw a diagonal in the square)
r = sq rt 144 = 12

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