Question

The point (-5, 6) is on a circle with a center (-1, 3).

Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.

Answer 1

Explanation:

The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.

Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:

(x+5)^2 + (y-6)^2 = 25