JAMB - Mathematics (1985 - No. 33)

Find the area of a regular hexagon inscribed in a circle of radius 8cm
16\(\sqrt{3}\) cm3
96\(\sqrt{3}\) cm3
192\(\sqrt{3}\) cm3
16\(\sqrt{3}\) cm2
33cm2

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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