# What is the center and radius of the circle with equation #36x^2 - 36x + 36y^2 - 24y = 131#?

##### 1 Answer

Jan 29, 2016

The General equation of circle is :

#### Explanation:

So,

Dividing all terms by 36 ( To remove the coefficient of x^2 and y^2)

We get,

Now

Comparing the given equation with the general equation of circle we get,

2g =

or g =

Again,

2f =

or f =

And,

c=

Thus,

Center of the circle (h,k) = (

= (

And

Radius =