# What is the standard form of the equation of a circle with a center at (0, 0) and a radius of 5?

Nov 28, 2015

First, the standard form for a circle with radius r and center (h,k) is...

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

#### Explanation:

Substituting $\left(0 , 0\right) \text{ for } \left(h , k\right)$ and $5 = r$ ...

${\left(x\right)}^{2} + {\left(y\right)}^{2} = {5}^{2} = 25$

hope that helped