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MATHEMATICS

JAMB 2005 - Question 28

Mathematics 2005 JAMB Past Questions - Question 28: A chord of a circle subtends an angle of 60 at the centre of a circle of radius 14cm. find the length of the chord .

Choose the most appropriate option for the gap .

A chord of a circle subtends an angle of 60 at the centre of a circle of radius 14cm. find the length of the chord .

A: 7cm

B: 14cm

C: 21cm

D: 28cm

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Correct Answer

Explanation

x/14 =sin 30x=14xsin 30length of the chord (AB)=2x=2x14xsin30=2x14x1/2=14cm