Question

if the radius of a circle is 15 units abs the center of the circle is (-3,2), what is the equation of the circle?​

Answer 1

`\large\boxed{(x+3)^2+(y-2)^2=225}`

Explanation:

The equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

(h, k) - center

r - radius

We have r = 15 and the center (-3, 2). Substitute:

`(x-(-3))^2+(y-2)^2=15^2\\\\(x+3)^2+(y-2)^2=225`