SOLUTION: The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?
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Question 255757: The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?
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Find the center and the radius.
Center:
x = (-4+2)/2 = -1
y = (7-1)/2 = 3
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Radius:
d = sqrt[(-4-2)^2 + (7--1)^2]
d = sqrt[36 + 64]
d = sqrt(100)
d = 10
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Equation:
(x+1)^2 + (y-3)^2 = 10^2
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Cheers,
Stan H.
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