Mathematics - Properties of Triangle Question with Solution | TestHub

A regular hexagon inscribed in a circle of radius $R$ can be divided into 6 equilateral triangles, each with side length $R$. The area of one equilateral triangle with side $R$ is $\frac{\sqrt{3}}{4}{R}^2$. Therefore, the total area of the regular hexagon is $6\times \frac{\sqrt{3}}{4}{R}^2=\frac{3\sqrt{3}}{2}{R}^2$.