SOLUTION: Find the center of the circle with these three points:(-3,-6),(9,-6),(3,0) I know how to find the radius by using points,but I'm not sure I know how to find the center of a circle

Algebra ->  Circles -> SOLUTION: Find the center of the circle with these three points:(-3,-6),(9,-6),(3,0) I know how to find the radius by using points,but I'm not sure I know how to find the center of a circle      Log On


   

Question 372552: Find the center of the circle with these three points:(-3,-6),(9,-6),(3,0)
I know how to find the radius by using points,but I'm not sure I know how to find the center of a circle with points please help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a line from (-3,-6) to (9,-6).
The midpoint of that line is (3,-6).
Since the distance from the midpoint to (3%2C%7B%7B%7B0%29+is+equal+to+distance+from+midpoint+to+%28%7B%7B%7B-3,-6) and (9,-6), it is the center of the circle.
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The radius is the distance from the center to any of the points and equals 6 units.
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%28x-3%29%5E2%2B%28y%2B6%29%5E2=36