# How would you find the equation of the circle, center at (2/3) with a radius of 10 units?

Mar 5, 2016

${\left(x - 2\right)}^{2} + {\left(y - 3\right)}^{2} = 100$

#### Explanation:

I am assuming that the centre = ( 2 , 3)

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

here (a , b ) = (2, 3 ) and r = 10. Substitute values into equation.

$\Rightarrow {\left(x - 2\right)}^{2} + {\left(y - 3\right)}^{2} = 100$