# Equation of Circle Touches Both Axes

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 the first quadrant equation of circle can be finding by using center ${C_1}\left( {r,r} \right)$ and radius is equal to $r$, equation (i) becomes

In the second quadrant equation of circle can be finding by using center ${C_2}\left( { - r,r} \right)$ and radius is equal to $r$, equation (i) becomes

In the third quadrant equation of circle can be finding by using center ${C_3}\left( { - r, - r} \right)$ and radius is equal to $r$, equation (i) becomes
In the forth quadrant equation of circle can be finding by using center ${C_4}\left( {r, - r} \right)$ and radius is equal to $r$, equation (i) becomes