# How do you write the equation of a circle with a center at (10, 10) and a radius of 12?

Feb 11, 2016

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

#### Explanation:

The standard form of the equation of a circle is :

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

where (a , b ) are the coordinates of the centre and r , the radius.

here the centre is (10 , 10 ) and r = 12

substitute these values into the standard form to obtain equation.

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