Question 9

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Jambmaths question: 

A chord of a circle subtend an angle of 60oat the centre of a circle of radius 14cm. Find the length of the chord

Option A: 

21cm

Option B: 

7cm

Option C: 

28cm

Option D: 

14cm

Jamb Maths Solution: 

OB will bisect $\angle AOC$

Therefore $\angle AOB={{30}^{o}}$

$AB=14\sin {{30}^{o}}=14\times \tfrac{1}{2}=7cm,\text{ }AC=2AB$

$AC=2\times 7cm=14cm\text{   }\!\!\{\!\!\text{ }OB\text{ perpendicular bisector }AC\}$

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