SOLUTION: Write the equation of a circle with endpoints of the diameter at (2, -5) and (-4, 3). Show your work for credit. please please PLEASE help.:)

Algebra ->  Circles -> SOLUTION: Write the equation of a circle with endpoints of the diameter at (2, -5) and (-4, 3). Show your work for credit. please please PLEASE help.:)       Log On


   

Question 521892: Write the equation of a circle with endpoints of the diameter at (2, -5) and (-4, 3).
Show your work for credit.

please please PLEASE help.:)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of a circle with endpoints
of the diameter at (2, -5) and (-4, 3).
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The midpoint of the diameter is the center of the circle.
center = ?
x coordinate: (-4+2)/2 = -1
y coordinate: (3-5)/2 = -1
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center is at (-1,-1)
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radius = ?
radius = sqrt[(3--1)^2 + (-4--1)^2] = sqrt[16+9] = 5
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Equation:
(x+1)^2 + (y+1)^2 = 25
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Cheers,
Stan H.
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