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An arc of a circle subtends an angle of 30° on the circumference of a circle...

Mathematics
JAMB 2003

An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.

  • A. 11cm
  • B. 22cm
  • C. 44cm
  • D. 66cm
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Correct Answer: Option B
Explanation

θ = 30 x 2(∠ at center twice ∠ at circumference)
∴ θ = 60°
Length of arc = \(\frac{\theta}{360}\times 2\pi r\)
= \(\frac{60}{360}\times 2 \times \frac{22}{7}\times \frac{21}{1}\)

= 22cm

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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