# How do you find the center and radius for x^2 + y^2 = 36?

Aug 22, 2016

centre = (0 ,0), radius = 6

#### 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.

The equation here can be expressed in this form, that is

${\left(x - 0\right)}^{2} + {\left(y - 0\right)}^{2} = {6}^{2}$

By comparison with the standard equation.

centre = (0 ,0) and radius = 6