Question

How do you find the area `(x+3)^2 + (y-2)^2 = 25`?

Answer 1

Use the equation of a circle to discover the radius is 5 and then use the equation of the area of a circle to get the area of `25pi`

Explanation:

The equation of a circle is:

`(x-a)^2+(y-b)^2=r^2`

From this we can see that `r^2=25`. The formula for the area of a circle is

`A=pi r^2`

Substituting for `r^2` the area is

`A=25pi`