# What is the standard form of the equation of a circle with a center of (1, 2) and a diameter of 15?

Dec 6, 2015

$\implies {\left(x - 1\right)}^{2} + {\left(y - 2\right)}^{2} = 225$

#### Explanation:

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

where:
$C e n t e r : \left(h , k\right)$
$r a \mathrm{di} u s = r$

${\left(x - 1\right)}^{2} + {\left(y - 2\right)}^{2} = {15}^{2}$
$\implies {\left(x - 1\right)}^{2} + {\left(y - 2\right)}^{2} = 225$