SOLUTION: A circle has center (p,q) and is tangent to the x-axis. Write the standard equation of the circle. I got (x-p)^2 + (y-q)^2 = r^2 but I'm not sure about the radius. Please help

Algebra ->  Circles -> SOLUTION: A circle has center (p,q) and is tangent to the x-axis. Write the standard equation of the circle. I got (x-p)^2 + (y-q)^2 = r^2 but I'm not sure about the radius. Please help       Log On


   



Question 194700: A circle has center (p,q) and is tangent to the x-axis. Write the standard equation of the circle.
I got (x-p)^2 + (y-q)^2 = r^2 but I'm not sure about the radius. Please help to clarify what I would do with r (radius) and why.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the circle is tangent to the x-axis
this means that the distance (in the y direction) from the center to the x-axis is the radius

so the y-coordinate of the center (q) is the radius of the circle