In this tutorial find of circle which touches both axis i.e. X-axis and Y-axis with any given radius, so can be find equation of circle in the all four quadrants.

Let equation of required circle having center and radius

**In First Quadrant:**
In the first quadrant equation of circle can be finding by using center

and radius is equal to

, equation (i) becomes

**In Second Quadrant:**
In the second quadrant equation of circle can be finding by using center

and radius is equal to

, equation (i) becomes

**In Third Quadrant:**
In the third quadrant equation of circle can be finding by using center

and radius is equal to

, equation (i) becomes

**In Forth Quadrant:**
In the forth quadrant equation of circle can be finding by using center

and radius is equal to

, equation (i) becomes

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