How do you find general form of circle centered at (2,3) and tangent to x-axis?
Understand that the contact point with the x-axis gives a vertical line up to the center of the circle, of which the distance is equal to the radius.
Tangent to the x-axis means:
- Touching the x-axis, so the distance from the center is the radius.
- Having the distance from it center is equal to the height (y).
The equation of the circle becomes: