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The angle of a sector of a circle of diameter 8cm is 135°. Find the...

Mathematics
WAEC 1989

The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take \(\pi\) = 22/7].

  • A. \(9\frac{3}{7}cm^2\)
  • B. \(12\frac{4}{7}cm^2\)
  • C. \(18\frac{6}{7}cm^2\)
  • D. \(25\frac{1}{7}cm^2\)
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Correct Answer: Option C
Explanation

Area of a sector

\(\frac{θ}{360°} * πr^2\)

= \(\frac{135}{360} * 3.142 * 4 * 4\)

= \(18\frac{6}{7}cm^2\)

 


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