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Find the area of the shaded region, such that square is formed by using the lines x=±1, y=±1.


Find The Area Of The Shaded Region, Such That Square Is Form...


Options:
A .   4π2
B .   4π4
C .   4 - π
D .   2(4 - π)
Answer: Option A
:
A

Find The Area Of The Shaded Region, Such That Square Is Form...
From the figure, it is evident the required area = Area of SquareArea of Circle4×2
Therefore, required area = [(2)2π(1)2]4×2=4π2
Shortcut: 4-pi-2 method
This is the most straightforward example of the circle inside a square pattern.
Therefore, we know that Area of square: Area of Circle = 4:π
Thus,required area = 4π2 



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