Question

Write the equation of a circle that has a center of (-8, 0)
and a diameter of 8.

Answer 1

(x+8)^2+y^2=16

Explanation:

The equation for a circle in center-radius form is

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

where (h,k) is the center and r is the radius.

We are given the diameter is 8 so the radius is 8/2=4.

We are also given (h,k) is (-8,0).

The equation for the circle is

(x--8)^2+(y-0)^2=4^2

(x+8)^2+y^2=16