Question

How do you write an equation for a circle given center in the first quadrant and tangent to x=-3 and x=5 and the x-axis?

Answer 1

`(x-1)^2+(y-4)^2=16`

Explanation:

The diameter of the circle is defined by the distance between (-3, 0) and (5, 0).
The distance from the mid point of the line joining points (-3, 0) and (5, 0) to point (5,0) is the radius of the circle.