Find the Center and Radius:

A circle w/ (-5,4) & (-6,-3) as ends of a diameter

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- Jan 29th 2007, 04:15 AM^_^Engineer_Adam^_^A hard question that came in my midterms
Find the Center and Radius:

A circle w/ (-5,4) & (-6,-3) as ends of a diameter - Jan 29th 2007, 04:51 AMticbol
If the ends of the diameter are (-5,4) and (-6,-3), then the center of the circle is the midpoint of the said diameter, which is

((-5+(-6))/2,(4+(-3))/2) = (-5.5,0.5) -------------answer.

The radius then is

r = sqrt[(-5.5 -(-5))^2 +(0.5 -4)^2)

r = sqrt[(-0.5)^2 +(-3.5)^2]

r = sqrt[0.25 +12.25]

r = sqrt(12.5) = 3.535534 ---------------answer.