Question

A regular hexagon is inscribed in a circle of radius 6 cm.The perimeter of the regular hexagon is how many cm?

Answer 1

Correct answer: Explanation: Theperimeter of a regular hexagon is just the sum of all 6 sides. Because it's a regular hexagon, the perimemter is just six times one side (6 cm) or 36cm.

Answer 2

Answer: Perimeter = 36cm.

Step-by-step explanation:

In the given figure, as described the hexagon is inscribed inside the circle so the sides of the hexagon forms arcs of the circle and the corners touch the circle.

The hexagon can be broken into several equilateral triangles( all sides same).

This means the radius of the circle forms two of the sides of each triangle.

As all the sides of a hexagon are equal, so we can find the measurement of the side.

Radius= Hexagon side= 6cm

Therefore, Perimeter=Addition of all the sides= 6*6 ( as it has 6 sides) = 36cm