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[ PR = RQ ] = 1/2 PQ { perpendicular from the centre to the chord bisects the chord }
In ∆ PRO ,
since <R = 90° it is a right angled triangle so we can use Pythagoras theorem ..,,
PR² = PO² - OR²
PR² = 5² - 4²
PR² = 25 - 16
PR² = 9
PR = √9
=> PR = 3cm <=
Since ,,,
PQ = PR+RQ
( Since PR = RQ = 3 cm )...
PQ = PR+PR
PQ = 2PR
=> PQ = 2(3)
=> PQ = 6 cm <=
hope it helps you
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