# How do you write the standard form of the equation of the circle with center (0,1), r=10?

Feb 8, 2016

${x}^{2} + {\left(y - 1\right)}^{2} = 100$

#### 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 coords of centre and r , the radius

in this question (a , b ) = (0 ,1 ) and r = 10

hence ${\left(x - 0\right)}^{2} + {\left(y - 1\right)}^{2} = {10}^{2}$