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
Forklaring
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
= 32 x \(\frac{\sqrt{3}}{2}\)
Area = 16\(\sqrt{3}\) x 6 = 96 \(\sqrt{3}\)cm2