SOLUTION: Can you please help me with this problem? What is the standard form of the equation of the circle with a center (o,-2) and a radius (square root of 14)?

Algebra ->  Circles -> SOLUTION: Can you please help me with this problem? What is the standard form of the equation of the circle with a center (o,-2) and a radius (square root of 14)?      Log On


   

Question 45234: Can you please help me with this problem?
What is the standard form of the equation of the circle with a center (o,-2) and a radius (square root of 14)?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
A circle with center at (h,k) and radius r is given by
+%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2+

Therefore if the center is at (0,2) and radius = sqrt%2814%29, then r%5E2=+14, and the equation will be%28x-0%29%5E2+%2B+%28y%2B2%29%5E2+=+14.

In case they want you to multiply this out, it would be
x%5E2+%2B+y%5E2%2B4y%2B4+-14=+0
x%5E2+%2By%5E2+%2B4y+-10=+0

R^2 at SCC