Question 1040509: Points (–12, 1) and (2, 3) 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. answer_____
(b) What is the center point C of the circle? answer_____
(c) Given the point C you found in part (b), state the point symmetric to C about the x-axis.
answer_______
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Points (–12, 1) and (2, 3) 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. answer:: length = sqrt[(3-1)^2+(2+12)^2] = sqrt[4+14^2] = sqrt(200)
= 10*sqrt(2) = 14.14..
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(b) What is the center point C of the circle?
answer:: x = (-12+2)/2 = -5 ; y = (1+3)/2 = 2
Ans::(-5,2)
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(c) Given the point C you found in part (b),
state the point symmetric to C about the x-axis.:: (-5,-2)
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Cheers,
Stan H.
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