SOLUTION: Find an equation of the circle that has center (2,-6) and passes through (6,-1)

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Question 1092303: Find an equation of the circle that has center (2,-6) and passes through (6,-1)
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the standard equation of the circle with the given center

%28x-2%29%5E2+%2B+%28y-%28-6%29%29%5E2 = r%5E2,

and find "r" as the distance between the given points

r = sqrt%28%286-2%29%5E2+%2B+%28-1-%28-6%29%29%5E2%29 = sqrt%284%5E2+%2B+5%5E2%29 = sqrt%2841%29.

So the final equation is %28x-2%29%5E2+%2B+%28y%2B6%29%5E2 = 41.