Question

A regular hexagon is inscribed in a circle of radius 7 cm . What is its perimeter?

Answer 1

Given:

A regular hexagon is inscribed in a circle of radius 7 cm.

To Find:

The perimeter of the hexagon.

Solution:

To find the parameter of the hexagon we will follow the following steps:

As we know,

Perimeter is the sum of all the sides of a geometry. As in a circle, circumference is the perimeter which parameter to the.

So,

Perimeter = 2 ×π×r = 2×π×7 = 14πcm. The parameter of the hexagon is equal to the parameter of the circle.

The hexagon is 6 sides figure so the perimeter of the hexagon is equal to 6a. where a is the side of the hexagon.

Now,

Perimeter = 6a

14π cm = 6a

44 = 6a

a = 7.3 cm

Henceforth, the parameter of the hexagon is 7.3 cm.