# How do you find the center and radius of X^2+(y+3)^2=25?

May 31, 2016

centre = (0 ,-3) , r = 5

#### Explanation:

The standard form of the equation of a circle is.

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where (a ,b) are the coordinates of the centre and r, the radius.

here a = 0 , b =- 3 and r = 5

hence centre = (a ,b) = (0 ,-3) and radius = 5