SOLUTION: Write the equation of the circle with center (-6, -4) and containing the point (-2, -1). Use the ^ key for the exponents. Write your answer as the example: (x-2)^2+(y+4)^2=64

Algebra ->  Equations -> SOLUTION: Write the equation of the circle with center (-6, -4) and containing the point (-2, -1). Use the ^ key for the exponents. Write your answer as the example: (x-2)^2+(y+4)^2=64      Log On


   

Question 1077804: Write the equation of the circle with center (-6, -4) and containing the point (-2, -1). Use the ^ key for the exponents.

Write your answer as the example: (x-2)^2+(y+4)^2=64
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the equation of the circle:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
if center (-6, -4), than h=-6 and k=-4; so far, we have
%28x-%28-6%29%29%5E2%2B%28y-%28-4%29%29%5E2=r%5E2
%28x%2B6%29%5E2%2B%28y%2B4%29%5E2=r%5E2...........to find r, use given point (-2, -1)=(x, y)
%28-2%2B6%29%5E2%2B%28-1%2B4%29%5E2=r%5E2
4%5E2%2B3%5E2=r%5E2
16%2B9=r%5E2
25=r%5E2
your equation is:+%28x%2B6%29%5E2%2B%28y%2B4%29%5E2=25