25 points-
if p=(-2,-1) and q=(2,1) are the endpoints of the diameter of a circle find the equation of the circle.

Like the other one I helped with, find the center of the circle by finding the midpoint of the diameter points:

Midpoint = (-2+2 /2 ), -1+1 /2) = (0,0)

The center of the circle is at (0,0)

Now find the radius using one of the end points and the center:

Radius = √((-2-0)^2 + (-1-0)^2) = √5

The equation of a circle is written as (x-h)^2 + (Y-k)^2 = r^2

H and K are the center points of the circle and r is the radius. Replace the letters with their values:

(X-0)^2 + (y-0)^2 = (√5)^2

Simplify to get:

(X-0)^2 + (y-0)^2 = 5

step-by-step explanation:

a

step-by-step explanation: