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If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle...

Mathematics
JAMB 1979

If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

  • A. 5544m2
  • B. 1386m2
  • C. 132m2
  • D. 264m2
  • E. 693m2
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Correct Answer: Option E
Explanation

\(\pi\) = \(\frac{22}{7}\), Diameter D = 42m

Area of a circle = \(\frac{\pi D^2}{4}\) when a diameter is given

area of a semicircle \(\frac{\pi D^2}{4}\) x \(\frac{1}{2}\)

= \(\frac{22}{7}\) x \(\frac{5541.7694}{4}\) x \(\frac{1}{2}\)

= \(\frac{11}{7} \times 441\)

= 693m\(^{2}\)


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