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

##### 1 Answer

Feb 5, 2016

The area of the circle described by your equation is

#### Explanation:

The equation

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

describes a circle.

A standard circle equation for a circle with the center

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

Thus, in your case, the center of your circle is the point

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#