Question

What equation of a circle has a center of (3,-2) and a radius of 9

Answer 1

`(x-3)^2 + (y+2)^2 = 81`

Explanation:

Center of the circle = (3, -2)

therefore h = 3, k = - 2

Radius (r) = 9

Equation of circle in center radius form is given as:

`(x-h)^2 + (y-k)^2 = r^2\\(x- 3)^2+ \{y-(-2)\}^2 = 9^2\\\huge\red{\boxed{(x-3)^2 + (y+2)^2 = 81}}\\this\: is \:the \:required\: equation\: of\: the\: circle.`