SOLUTION: I have a pretty large test tomorrow about special segments in a circle. Would you please help me with figuring these things out? THANKS! I guess I will ask this first. I ne

Algebra ->  Circles -> SOLUTION: I have a pretty large test tomorrow about special segments in a circle. Would you please help me with figuring these things out? THANKS! I guess I will ask this first. I ne      Log On


   

Question 590448: I have a pretty large test tomorrow about special segments in a circle. Would you please help me with figuring these things out?
THANKS!
I guess I will ask this first.
I need to write the equasion of a circle with a center at (-2,4),passes through (-6,7)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the general circle equation is ___ (x - h)^2 + (y -k)^2 = r^2 ___ for a circle centered at (h,k) with radius r

r is the distance from the center to any point on the circumference
___ using the distance formula ___ (-2 - -6)^2 + (4 - 7)^2 = r^ ___ (4)^2 + (-3)^2 = r^2 ___ 25 = r^2

so the equation is ___ (x + 2)^2 + (y - 4)^2 = 25