SOLUTION: what is the equation of a circle with diameter ab that has endpoints A(0,0) and B(8,6)?

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Question 369588: what is the equation of a circle with diameter ab that has endpoints A(0,0) and B(8,6)?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

P%28x%5B1%5D%2Cy%5B1%5D%29 and  +P%28x%5B2%5D%2Cy%5B2%5D%29 on the coordinate plane:

Distance between the points:

sqrt%28%28x%5B2%5D+-+x%5B1%5D%29%5E2+%2B+%28y%5B2%5D+-+y%5B1%5D%29%5E2%29

sqrt%288%5E2+%2B+6%5E2%29+=+sqrt%28100%29 = 10 the length of ab, midpoint (4,3)

(x-4)^2 + (y-3)^2 = 25