SOLUTION: Find the center-radius form of the equation of a circle that satisfies the given conditions:Diameter with endpoints (3, 4) and (3, -4) 55

Algebra ->  Test -> SOLUTION: Find the center-radius form of the equation of a circle that satisfies the given conditions:Diameter with endpoints (3, 4) and (3, -4) 55       Log On


   



Question 314659: Find the center-radius form of the equation of a circle that satisfies the given conditions:Diameter with endpoints (3, 4) and (3, -4) 55

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Diameter=D=4-%28-4%29=8
R=D%2F2=4
.
.
.
The center is the midpoint of the given points.
xm=%283%2B3%29%2F2=3
ym=%284-4%29%2F2=0
(3,0)
.
.
.
The general equation for a circle centered at (h,k) with a radius R is:
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
%28x-3%29%5E2%2B%28y-0%29%5E2=4%5E2
highlight%28%28x-3%29%5E2%2By%5E2=16%29