SOLUTION: I am working on finding the equation of a circle, but it's kind of confusing. Can you explain it to me? My current problem is the center of the circle is (6,-5) and it passes th

Algebra ->  Functions -> SOLUTION: I am working on finding the equation of a circle, but it's kind of confusing. Can you explain it to me? My current problem is the center of the circle is (6,-5) and it passes th      Log On


   

Question 336764: I am working on finding the equation of a circle, but it's kind of confusing. Can you explain it to me?
My current problem is the center of the circle is (6,-5) and it passes through (1,7) I have to find the algebraic equation for the circle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula to find the radius.
The distance from the center of a circle to any point on the circle is equal to the radius.
R%5E2=%281-6%29%5E2%2B%287-%28-5%29%29%5E2
R%5E2=%281-6%29%5E2%2B%287-%28-5%29%29%5E2
Then plug that into the general equation for a circle centered at (h,k) with radius R %28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
%28x-6%29%5E2%2B%28y%2B5%29%5E2=%281-6%29%5E2%2B%287-%28-5%29%29%5E2
Simplify the right hand side to get the final answer.
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