Q8 of 29 Page 61

In the figure at right, AB and CD are two parallel chords of a circle with centre O and radius 5 cm. Such that AB = 8 cm and CD = 6 cm. If OP ⊥ AB and OQ ⊥ CD determine the length PQ.

From Theorem: A circle with radius r and a chord of length l which is at distance d from the centre, follows the equation,



In triangle APO



OP = 3cm.


In triangle COQ



OQ = 4cm


From figure PQ = OP + OQ = 7cm.


Hence PQ = 7cm.


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