SOLUTION: In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to AB. What is the length of XC? There is a circle drawn with a vertical diameter. there is

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Question 37550: In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to AB. What is the length of XC?
There is a circle drawn with a vertical diameter. there is a chord drawn about half way down the bottom half of the diameter. and XC is from the middle of the chord to C at the bottom of the circle
Answer by venugopalramana(3286) About Me  (Show Source):
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In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to AB. What is the length of XC?
There is a circle drawn with a vertical diameter. there is a chord drawn about half way down the bottom half of the diameter. and XC is from the middle of the chord to C at the bottom of the circle
UNDERSTAND THAT O IS CENTRE OF CIRCLE WITH 34 DIA.
AB IS A HORIZONTAL CHORD OF 16 LENGTH.X IS MID POINT OF AB
CXOD IS A VERTICAL DIAMETER.TO FIND CX?...IF SO THEN....
OC=34/2=17
IN RIGHT TRIANGLE OAX
OA^2=OX^2+AX^2
17^2=OX^2+8^2
OX^2=17^2-8^2=289-64=225
OX=15
HENCE XC=OC-OX=17-15=2