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An arc of a circle of length 22 cm subtends an angle of 3x° at the...

Mathematics
JAMB 2004

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

  • A. 60o
  • B. 120o
  • C. 180o
  • D. 30o
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Correct Answer: Option A
Explanation

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

22 = \(\frac{3x}{360}\) x \(\frac{22}{7}\) x 7           (since D = 2r)

22 x 7 x 360 = 3x X 22 X 7

x = \(\frac{22 \times 7 \times 360}{3 \times 22 \times 7\times 2}\) = 60º

There is an explanation video available below.


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Explanation Video

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Post UTME Past Questions Agent
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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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