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An arc subtends an angle of 72\(^o\) at the centre of a circle. Find the...

Mathematics
WAEC 2019

An arc subtends an angle of 72\(^o\) at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take \(\pi = \frac{22}{7}\)]

  • A. 6.6 cm
  • B. 8.8 cm
  • C. 4.4 cm
  • D. 2.2 cm
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Correct Answer: Option C
Explanation

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

= \(\frac{72}{360} \times 2 \frac{22}{7} \times \frac{0.5}{3.5}\)

= 4.4


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