# What is the standard form of the equation of a circle with a center of (0, 8) and a radius of 9?

Nov 13, 2015

${x}^{2} + {\left(y - 8\right)}^{2} = 81$

#### Explanation:

Any circle centred at (a,b) and of radius r has equation
${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$.

So the equation of this particular circle will then be

${\left(x - 0\right)}^{2} + {\left(y - 8\right)}^{2} = {9}^{2}$