# What is the standard form of the equation of a circle with a center (10, 10) and a radius of 12?

Dec 29, 2015

${\left(x - 10\right)}^{2} + {\left(y - 10\right)}^{2} = 144$

#### Explanation:

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

where $C : \left(h , k\right)$

${\left(x - 10\right)}^{2} + {\left(y - 10\right)}^{2} = {12}^{2}$

$\implies {\left(x - 10\right)}^{2} + {\left(y - 10\right)}^{2} = 144$