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A chord of a circle subtends an angle of 60o at the length of a...

Mathematics
JAMB 2005

A chord of a circle subtends an angle of 60o 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
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Correct Answer: Option B
Explanation

Chord Length (L) = \(2 \times Radius \times (sin \frac{angle}{2})\)

= \(2 \times 14 \times (sin \frac{60}{2})\)

= \( 28 \times (sin 30)\)

= \(28 \times \frac{1}{2}\)

= \(14cm\)

 

There is an explanation video available below.


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Explanation Video

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