Hello, Bowlbase!

I have a circle whose center is at point (5,-2) and goes through (1,1)

Circle formula:

. .

So: .

I can't tell for sure if this passes through (1,1) or not from the wolfram graph but looks pretty close.

Substitutex = 1andy = 1into the equation . . . Do they satisfy the equation?

To convert to polar coordinates, I'd do it like this . . .

You can use the Quadratic Formula to solve for . . . but it's pretty ugly!