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An arc of a circle of radius 6cm is 8cm long. Find the area of...

Mathematics
JAMB 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

  • A. 5\(\frac{1}{3}\)cm2
  • B. 24cm2
  • C. 36cm2
  • D. 84cm2
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Correct Answer: Option B
Explanation

Radius of the circle r = 6cm, Length of the arc = 8cm

Area of sector = \(\frac{\theta}{360}\) x \(\pi\)r2........(i)

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

from eqn. (ii) \(\theta\) = \(\frac{240}{\pi}\), subt. for \(\theta\) in eqn (i)

Area x \(\frac{240}{1}\) x \(\frac{1}{360}\) x \(\frac{\pi 6}{1}\)

= 24cm\(^2\)


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