passpadi

2005

Mathematics

JAMB

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

A.

7 cm

B.

14 cm

C.

21 cm

D.

28 cm

Correct Answer: 14 cm

Explanation

Chord Length (L) = 2×Radius×(sin(angle/2)) = 2×14×(sin60/2) = 28×(sin30) = 28×1/2 = 14cm

Chord Length (L) = 2×Radius×(sin(angle/2)) = 2×14×(sin60/2) = 28×(sin30) = 28×1/2 = 14cm
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