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Area of the shaded portion in the given figure, where the arcs are quadrants of a circle, is
A) \( \Large 42\ m^{2} \)
B) \( \Large 56\ m^{2} \)
C) \( \Large 64\ m^{2} \)
D) \( \Large 144\ m^{2} \)
Correct answer:
A) \( \Large 42\ m^{2} \)
Description for Correct answer:
Required area = Area of square -4 x area of one sector
= \( \Large 14 \times 14-4 \times \frac{1}{4} \pi \times 7^{2} \)
= \( \Large 196 - 4 \times \frac{1}{4} \times \frac{22}{7} \times 7 \times 7 \)
= \( \Large 196\ -\ 154 \)
= \( \Large 42\ m^{2} \)
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