How do you find the area #(x - 2 )² + (y + 4 )² = 9#?

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Answer 1 · 2016-02-05T15:21:01

The area of the circle described by your equation is # 9 pi " units"^2 ~~ 28.27 " units"^2#.

The equation

#(x-2)^2 + (y + 4)^2 = 9#

describes a circle.

A standard circle equation for a circle with the center #(h, k)# and the radius #r# has the form

#(x - h)^2 + (y - k)^2 = r^2#

Thus, in your case, the center of your circle is the point #(2, -4)# and your radius is #3#.

If I understand your question correctly, you would like to compute the area of this circle.

The formula for that is

#A = pi r^2 = pi * 3^2 = 9pi ~~ 28.27 " units"^2#