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

##### 1 Answer

May 31, 2016

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

#### Explanation:

The standard form of the equation of a circle is.

#color(red)(|bar(ul(color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(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