Question

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. ​

Answer 1

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Answer 2

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.