English

In the given figure, OABC is a square of side 7 cm. If COPB is a quadrant of a circle with centre C find the area of the shaded region.

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Question

In the given figure, OABC is a square of side 7 cm. If COPB is a quadrant of a circle with centre C find the area of the shaded region.

Sum
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Solution

Area of shaded region = Area of square OABC − Area of quadrant COPB having radius OC

`= (Side)^2 - 1/4(pixx"r"^2)`

`=(7)^2 - 1/4[22/7xx7^2]`

= 49 - 38.5

= 10.5 cm

Area of shaded region = Area of square OABC − Area of quadrant COPB having radius OC

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Chapter 16: Area of Circle, Sector and Segment - EXERCISE 16B [Page 748]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
EXERCISE 16B | Q 28. | Page 748
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