Write the equation of the circle with center (-3,5) and radius 15 units

The standard circle equation is:

(x-h) ^2 + (y-k) ^2=r^2, where (h, k) is the center of the circle and r is the radius.

We are given the radius is 15 and the center is (-3,5) so we simply need to plug in these values of the general case:

(x--3) ^2 + (y-5) ^2=15^2

(x+3) ^2 + (y-5) ^2=225