Question:
A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is
(a) 3r
(b) 6r
(c) 9r
(d) 12r
Solution:
The correct answer is option (b) 6r
Explanation:
We know that a hexagon contains six equilateral triangles, where one of the vertices of each equilateral triangles meet at the centre of the hexagon.
The radius of the smallest which is inscribing the hexagon is equal to the sides of the equilateral triangle.
Therefore, the perimeter of a regular hexagon is 6r, as each side of the hexagon is equal to the radius of the hexagon.