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

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
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