Question

The circle is tangent to x=-3 and x=5 and the x axis. The center is in quadrant I.

Answer 1

can you find the center?

Answer 2

was just about to draw something like this:)

Answer 3

What would the equation of the circle be?

Answer 4

end points of the diameter are (-3,4)and (5,4)
eq. of circle with coordinates of diameter as (x1,y1) and (x2,y2) is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
then simplify