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Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.

Mathematics
JAMB 2024

Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.

  • A. 105\(^0\)
  • B. 115\(^0\)
  • C. 120\(^0\)
  • D. 135\(^0\)
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Correct Answer: Option D
Explanation

Length of Arc = \(\frac{\theta}{360}\) x 2\(\pi\)r

Length of arc = 33cm, diameter = 28cm → r = 14cm

33 = \(\frac{\theta}{360} \times 2 \times \frac{22}{7}\times14\)

\(\theta\) = \(\frac{33 \times 180}{22 \times 2}\)

\(\theta\) = 135º

There is an explanation video available below.


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Explanation Video

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