SOLUTION: Write an equation for a circle if the endpoints of a diametre are at (1,1) and (1,9). Thank You

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Question 41380: Write an equation for a circle if the endpoints of a diametre are at (1,1) and (1,9).
Thank You
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Given Diameter end points (a,b)and (c,d)
Length of radius r=sqrt%28%28c-a%29%5E2+%2B+%28d-b%29%5E2%29
Since the diameter divides the circle into 2 equal halves, its midpoint is the center of the circle
%28a%2Bc%29%2F2%28b%2Bd%29%2F2
And equation of the circle is %28%28X-%28a%2Bc%29%2F2%29%5E2+%2B+%28Y-%28b%2Bd%29%2F2%29%5E2%29=+r%5E2
Just substitute and solve