Question

two chords AB and CD of lengths 5cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of the centre. If the distance between AB and CD is 6 cm find the radius

Answer 1

Draw OM ⊥ AB and ON ⊥ CD. Join OB and OD.



 (Perpendicular from the centre bisects the chord)



Let ON be x. Therefore, OM will be 6− x.

In ΔMOB,



In ΔNOD,



We have OB = OD (Radii of the same circle)

Therefore, from equation (1) and (2),



From equation (2),



Therefore, the radius of the circle iscm.

Answer 2

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