Find the radius of a circle, given that the center is at (3,-3) and the point (7,6) lies on the circle.

Step-by-step explanation:

The radius is the distance between the center and any point on the circle.

The formula of a distance between two points:

We have the center (3, -3) and other point on the circle (7, 6).

Substitute:

Step-by-step explanation:

if center is (3,-3), then we know the equation must look like:

(x-3)^2+(y+3)^2=r^2

Now to make sure (7,6) lies on the circle, we plug in:

(7-3)^2+(6+3)^2=16+81=97

so r= sqrt(97)

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