O is the centre of the circle and AB is parallel to CD. AB=24cm. Distance between AB and CD is 7cm. If radius of the circle is 13cm, find the length of CD.
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Answer:
25.04 cm
Step-by-step explanation:
Consider the distance between AB and CD as E and F.
Consider triangle COE
OE=7/2 = 3.5cm
OC=13cm
CE=?
By Pythagoras theorem;
OC^2 = OE^2+CE^2
CE^2 = OC^2-OE^2
CE^2 = 13^2-3.5^2
CE^2 = 169-12.25
CE^2 = 156.75
CE = √156.75
CE = 12.52cm
Hence, CD = 2*CE
= 2*12.52
= 25.04cm
Hence, the length of CD is 25.04 cm.
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