# How do you write the equation for a circle with radius a and touching both axes?

##### 1 Answer

Jul 25, 2016

The family of circles touching both the axes in any of the four quadrants is given by

#### Explanation:

If the radius is a, the center of the circle will be at

The four pairs of signs is indicative of the quadrant in which the

circle lies..

So, the equation is

'a' is the parameter. for this family of circles f(x, y, a) = 0..