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What is the area enclosed by the region defined by the equation x^2+y^2+6x+8y = 0?

 Oct 6, 2019
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This is a circle.....

"complete the square"  for x and y to get

(x+3)^2 + (y+4)^2 =5^2       so the center is -3,-4 and the radius is 5    Area of a circle = pi r^2   = 25 pi

 Oct 6, 2019
edited by ElectricPavlov  Oct 6, 2019

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