SOLUTION: Write the equation of the circle with center at (-6,-1) and circumference 4π. answer: ___________ ___________ _

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of the circle with center at (-6,-1) and circumference 4π. answer: ___________ ___________ _      Log On


   

Question 866672: Write the equation of the circle with center at (-6,-1) and circumference 4π.
answer: _________________________
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
circumference 4π ---> C = 4*pi


C = 2*pi*r

4*pi = 2*pi*r

4pi/2pi = r

2 = r

r = 2


Center: (-6,-1) ---> (h,k) = (-6,-1)
Radius: r = 2


%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2

%28x-%28-6%29%29%5E2+%2B+%28y-%28-1%29%29%5E2+=+2%5E2

%28x%2B6%29%5E2+%2B+%28y%2B1%29%5E2+=+4


is the equation of the circle