SOLUTION: can you find the center of the circle with these three points: (-8,5) (-14,-1) and (-2,-1)?

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Question 400008: can you find the center of the circle with these three points: (-8,5) (-14,-1) and (-2,-1)?
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 Pt(-8,-1) is the center of the circle, radius of 6

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Lemme tell u a short cut :
whenever u see same X-coordinates or same Y-coordinates in a pair of points, you can be sure that it a+right+angled triangle formed by the 3+points.
And the center of circle+=+midpoint of the hypotenuse of triangle
In this case see (-14,-1) and (-2,-1)

Mid point = (10+(-4))/2 , (3+3)/2)
= (3,3)
Mid point = (-14+(-2))/2 , (-1+(-1))/2=-16/2,-2/2 =-8 , -1
Hence (-8 , -1) is the center of the circle