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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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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 ______.

Fill in the Blanks
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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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Chapter 13: Areas Related to Circles - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 13.48]

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R.D. Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 17. | Page 13.48
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