An easy geometry problem

Geometry Level 3

What is the area enclosed by :

{ x 2 2 , y 2 , ( x 4 ) 2 + ( y 2 ) 2 4 } \left\{|x-2|\leq2,|y|\geq2,(x-4)^2+(y-2)^2\leq4\right\}

4 π 4\pi π \pi 4 4 2 π 2\pi

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1 solution

It's a quarter of a circle with radius 2 2 centered at ( 4 , 2 ) , (4,2) ,

So the area is 1 4 π 2 2 = π . \frac14*\pi*2^2=\pi.

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