Question

A regular hexagon is inscribed in a circle of radius ' $r$ ' units. The perimeter (in $r$ units) of a regular hexagon would be_____

Answer 1

Answer: 6

We know a regular hexagon comprises of six equilateral triangles, each one of them is having one of their vertices at the centre of the hexagon.

So, the side of an equilateral triangle is equal to the radius of the circle inscribed in a hexagon.
$\Rightarrow$ Each side of a hexagon is equal to side of an equilateral triangle that is equal to the radius of a circle.
So, perimeter of a hexagon $=6\times r$
$=6r$