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What is the area between two concentric circles of diameters 26cm and 20cm?

Mathematics
JAMB 1981

What is the area between two concentric circles of diameters 26cm and 20cm?

  • A. 100\(\pi\)
  • B. 169\(\pi\)
  • C. 69\(\pi\)
  • D. 9\(\pi\)
  • E. 269\(\pi\)
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Correct Answer: Option C
Explanation

Area of circle 1 with diameter 26cm:

\(\pi r^{2} = \pi \times (\frac{26}{2})^{2} \)

= \(169 \pi cm^{2}\)

Area of circle 2 with diameter 20 cm:

\(\pi R^{2} = \pi \times (\frac{20}{2})^{2}\)

= \(100 \pi cm^{2}\)

Area between the two circles = \((169 - 100) \pi cm^{2}\)

= \(69 \pi cm^{2}\)


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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts