Question

In regular hexagon, if the radius of circle through vertices is r, then length of the side will be

• A. $\frac{2\pi r}{6}$
• B. r
• C. $\frac{\pi r}{6}$
• D. $\frac{r}{2}$

Answer 1

The correct option is B r

$\Rightarrow$ Radius of a circle is $r$.

$\Rightarrow$ In regular hexagon all sides are equal.

$\Rightarrow$ The regular hexagon has 6 equilateral triangles. The diameter of the circle is $2r$ in this case, will coincide with 2 equilateral triangles. So the side of the hexagon will be $r$.

$\therefore$ Length of side of hexagon is $r$.