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Find the area of a regular hexagon inscribed in a circle of radius 8cm

Mathematics
JAMB 1985

Find the area of a regular hexagon inscribed in a circle of radius 8cm

  • A. 16\(\sqrt{3}\) cm3
  • B. 96\(\sqrt{3}\) cm3
  • C. 192\(\sqrt{3}\) cm3
  • D. 16\(\sqrt{3}\) cm2
  • E. 33cm2
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Correct Answer: Option B
Explanation

Area of a regular hexagon = 8 x 8 x sin 60o

= 32 x \(\frac{\sqrt{3}}{2}\) 

Area = 16\(\sqrt{3}\) x 6 = 96 \(\sqrt{3}\)cm2


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