SOLUTION: Write the equation of the circle with center (-1, 9) and containing the point (2, 5). Use the ^ key for the exponents. Write your answer like this: (x+3)^2+(y-8)^2=49

Algebra ->  Equations -> SOLUTION: Write the equation of the circle with center (-1, 9) and containing the point (2, 5). Use the ^ key for the exponents. Write your answer like this: (x+3)^2+(y-8)^2=49      Log On


   

Question 1077798: Write the equation of the circle with center (-1, 9) and containing the point (2, 5). Use the ^ key for the exponents.

Write your answer like this: (x+3)^2+(y-8)^2=49
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The form we are looking for is +%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2+
where (h,k) is the center
and r is the radius
We know the center, let's find the radius:
+r%5E2+=+%282-%28-1%29%29%5E2+%2B+%285-9%29%5E2%29+=+9%2B16+=+25+

—
Ans: +%28x%2B1%29%5E2+%2B+%28y-9%29%5E2+=+25+
—
(x+1)^2 + (y-9)^2 = 25