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Problem Solving (PS) | Re: What is the area of the region enclosed by lines y=x, x=−y,

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gmatcracker2018 wrote:

ujjwal80 wrote:
Bunuel wrote:
m22 q20

What is the area of the region enclosed by lines \(y=x\), \(x=-y\), and the upper crescent of the circle \(y^2+x^2=4\) ?

A.\(\frac{\pi}{4}\)
B.\(\frac{\pi}{2}\)
C.\(\frac{3\pi}{4}\)
D.\(\pi\)
E.\(4\pi\)

The circle represented by the equation\(x^2+y^2 = 4\) is centered at the origin and has the radius of\(r=\sqrt{4}=2\) .

Look at the diagrambelow:
We need to find the area of the upper crescent, so the area of the yellow sector. Since the central angle of this sector is 90 degrees then its

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