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

Mar 5, 2016

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 $25 \pi$

#### Explanation:

The equation of a circle is:

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$

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

$A = 25 \pi$