A) \[\left( 4-\frac{3\pi }{2} \right)c{{m}^{2}}\]
B) \[(2\pi -4)c{{m}^{2}}\]
C) \[(4-2\pi )c{{m}^{2}}\]
D) \[\left( \frac{7-3\pi }{2} \right)c{{m}^{2}}\]
Correct Answer: B
Solution :
(b): Area of region x = Area of square ? Area of inscribed circle \[=(4-\pi )\] Area of region y = Area of square ? 4(area of quadrant) \[=4-4\left( \frac{1}{4}\pi \times {{(1)}^{2}} \right)=(4-\pi )\] Required area (of shaded region) = Area of square ? {Area of region x + Area of region y] \[=4-[4-\pi +4-\pi ]=2\pi -4\]You need to login to perform this action.
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