SOLUTION: Write the standard equation of a circle with the center (-2,-5) and radius = root2

Algebra ->  Circles -> SOLUTION: Write the standard equation of a circle with the center (-2,-5) and radius = root2      Log On


   

Question 1115628: Write the standard equation of a circle with the center (-2,-5) and radius = root2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the standard equation of a circle is:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 where h and k are x and y coordinates of the center, and r is radius

given:
the center is at (-2,-5), so we have h=-2 and k=-5
and r=+sqrt%282%29+
%28x-%28-2%29%29%5E2%2B%28y-5%29%5E2=%28sqrt%282%29%29%5E2
%28x%2B2%29%5E2%2B%28y%2B5%29%5E2=2-> your equation