SOLUTION: Points (5, – 8) and (9, 4) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work.

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Question 1116512: Points (5, – 8) and (9, 4) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point symmetric to C about the y-axis.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Points (5, – 8) and (9, 4) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
d = sqrt[(4--8)^2+(9-5)^2] = sqrt[12^2+4^2] = 12.65
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(b) What is the center point C of the circle?
x = (5+9)/2 = 7
y = (-8+4)/2 = -2
Center (7,-2)
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(c) Given the point C you found in part (b), state the point symmetric to C about the y-axis.
Ans (-7,-2)
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Cheers,
Stan H.
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