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# help coordinates

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In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-48=x^2+y^2-10x+2y

Oct 23, 2022

#1
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Combine like terms:

x^2 + y^2 + 20x - 8y - 48 = 0

(x + 10)^2 + (y - 4)^2 - 164 = 0

radius is square root of 164.

Area = $$2\pi\sqrt{41}$$

Oct 24, 2022