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Question
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 .  4−π2
B .  4−π4
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 = AreaofSquareAreaofCircle4×2
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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