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An arc of length 22cm subtends an angle of θ at the center of the...

Mathematics
WAEC 1990

An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]

  • A. 70o
  • B. 84o
  • C. 96o
  • D. 156o
  • E. 168o
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Correct Answer: Option B
Explanation

\(2\pi r = 2 \times 3.142 \times 15 = 94.28cm\)

\(94.28cm = 360°\)

\(1cm = \frac{360°}{94.28}\)

\(\therefore 22cm = \frac{360°}{94.28} \times 22\)

= 84°


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