194k views
5 votes
(-3, 11) and (3, -13) are the endpoints of a circle's diameter. What is the

equation of this circle? *

User PeterD
by
8.8k points

1 Answer

4 votes

Answer:

(x-0)^2-(y+1)^2=153

Explanation:

Find midpoint by averaging x-value and y-values

Midpoint: (0, -1)

Find radius by calculating distance from center to a point on the diameter.

Radius: 12.369

Use circle formula: (x-h)^2+(y-k)^2=r^2

Hint: (h,k) is the center

Answer: (x-0)^2-(y+1)^2=153

User Jensph
by
8.9k points