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Question
In figure, ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is ______.

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Solution
In figure, ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is `underlinebb(((100 - 25π)/8) cm^2)`.
Explanation:

Area(square) = 102 = 100 cm2.
Inscribed circle has radius 5,
So area(circle) = π·52 = 25π cm2.
Shaded area = area(square) – area(circle)
= 100 – 25π cm2 (≈ 21.46 cm2)
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