SOLUTION: find the radius r and the center (h,k) of the following circle 3(x-3)^2 + 3y^2 = 75

Algebra ->  Circles -> SOLUTION: find the radius r and the center (h,k) of the following circle 3(x-3)^2 + 3y^2 = 75      Log On


   



Question 310641: find the radius r and the center (h,k) of the following circle
3(x-3)^2 + 3y^2 = 75

Found 2 solutions by nerdybill, Fombitz:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
find the radius r and the center (h,k) of the following circle
3(x-3)^2 + 3y^2 = 75
.
Circle equation:
+%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2+
where
(h,k) is the center
r is the radius
.
Starting with what was given:
+3%28x-3%29%5E2+%2B+3y%5E2+=+75+
Dividing both sides by 3:
+%28x-3%29%5E2+%2B+y%5E2+=+75%2F3+
+%28x-3%29%5E2+%2B+%28y-0%29%5E2+=+25+
+%28x-3%29%5E2+%2B+%28y-0%29%5E2+=+5%5E2+
.
center is at (3,0)
radius is 5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-3%29%5E2+%2B+3y%5E2+=+75
%28x-3%29%5E2+%2B+y%5E2+=+25
Compare to the general equation of a circle of radius R centered at (h,k),
%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+R%5E2
.
.
.
(h,k)=(3,0)
R=5