Question 834845: Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Endpoints of a diameter A(−8, 5) and B(6, 9)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Endpoints of a diameter A(−8, 5) and B(6, 9)
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Find the center, (x,y)::
x = (-8+6)/2 = -1
y = (5+9)/2 = 7
(x,y) = (-1,7)
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Find the radius, r ::
Find the distance from (6,9) to (-1,7)
r = sqrt[(9-7)^2+(6--1)^2] = sqrt[4+49] = sqrt(53)
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Equation:
(x+1)^2 + (y-7)^2 = 53
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Cheers,
Stan H.
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