Question

A regular hexagon is inscribed in a circle whose radius is $20$ cm. What is the area of the hexagon? Given, $\sqrt{3}=1.73$

Answer 1

Arn inscribed hexagon has the same side as that of the radius of the circle The area of the hexagon is six times the area of the equilateral triangle
$\therefore$ Area of the hexagon $=6\times \frac{\sqrt{3}}{4}\times {\left(20\right)}^{2}c{m}^2$
$=600\sqrt{3}c{m}^2$
$=600\left(1.73\right)$
$=1138c{m}^2$