Question : A 9 cm long perpendicular is drawn from the centre of the circle to a 24 cm long chord. Find the radius of the circle.
Option 1: 17 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 15 cm
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Correct Answer: 15 cm
Solution : The perpendicular drawn from the centre of the circle to the chord bisects the chord. ⇒ AM = MB = $\frac{24}{2}$ = 12 cm In the right triangle AMO, AO 2 = OM 2 + AM 2 ⇒ AO 2 = 9 2 + 12 2 ⇒ AO 2 = 225 $\therefore$ AO = 15 cm Hence, the correct answer is 15 cm.
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