# How do you find the equation of a circle radius 3 units and its center lies on the line y=x-1?

##### 1 Answer

Sep 10, 2017

There are infinitely many such circles, but their equations can be expressed as:

for any real value of

See explanation.

#### Explanation:

The general equation of a circle with center in

#(x-a)^2+(y-b)^2=r^2# ##

In our task the radius is given (it is