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In the diagram above, PXR and PYO are two semi-circles with diameters 14cm and 7cm...

Mathematics
WAEC 1991

In the diagram above, PXR and PYO are two semi-circles with diameters 14cm and 7cm respectively. Find the area of the enclosed region, PXROY correct to the nearest whole number

  • A. 96cm2
  • B. 116cm2
  • C. 154cm2
  • D. 192cm2
  • E. 385cm2
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Correct Answer: Option A
Explanation

Area of the bigger semi circle PRO = \(\frac{πr^2}{2}\)

= \(\frac{22}{7}\) x \(\frac{49}{2}\)  = 77cm\(^2\)


2nd Area of the smaller circle DYO = \(\frac{22}{7}\) x \(\frac{3.5^2}{2}\)  = 19.25cm\(^2\)
Total Area = 77 + 19.25 = 96.25 ≈ 96.00cm\(^2\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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