# How do you find an equation of the circle of radius 4 that is tangent to the x-axis and has its center on x-2y=2?

##### 1 Answer

Mar 19, 2016

The given circle touches x-axis and its radius is 4 ,so its center will be 4 unit distance apart from the point of contact on x- axis i.e. the ordinate of its center should be +4 or-4. Let the x-coordinate of its center be **h** then its center would be (h,4) OR (h,-4)

Again it is given that the center is on the line

So we can write for center (h,4)

equation of the circle having center

for center (h,-4)

equation of the circle having center