Question

What is the general form of the equation of a circle with a center at the (4, –2) and a radius of 9?

Answer 1

You want to use the general form equation:
\[(x - h)^{2} + (y - k)^{2} = r^{2}\]

Answer 2

Now look at what information you were given. You have the coordinates of the center of the circle and its radius. So you will plug those into the equation. h = 4, k = -2, r = 10

Answer 3

\[(x - 4)^{2} + (y + 2)^{2} = 10^2\]