SOLUTION: Find an equation of the circle that has its center at (3,-1) and passes through the point (-2,2)

Algebra ->  Rational-functions -> SOLUTION: Find an equation of the circle that has its center at (3,-1) and passes through the point (-2,2)      Log On


   

Question 374190: Find an equation of the circle that has its center at (3,-1) and passes through the point (-2,2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general equation of a circle centered at (h,k) with a radius of R.
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
Substituting,
%28-2-3%29%5E2%2B%282-%28-1%29%29%5E2=R%5E2
%28-5%29%5E2%2B3%5E2=R%5E2
R%5E2=25%2B9
R%5E2=34
.
.
.
highlight%28%28x-3%29%5E2%2B%28y%2B1%29%5E2=34%29