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A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60° on the circumference of...

Mathematics
JAMB 1998

A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60° on the circumference of he circle. Find the length of the chord

  • A. \(\frac{\sqrt{3}}{2}\)
  • B. \(\frac{3}{2}\)
  • C. 3
  • D. \(\sqrt{3}\)cm
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Correct Answer: Option D
Explanation

Length of chord = \(2r \times \sin(\frac{\theta}{2})\)

= \( 2 \times \sqrt{3} \times \sin(\frac{60}{2})\)

= \(2 \times \sqrt{3} \times \frac{1}{2}\)

= \(\sqrt{3}\) cm.


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