Question

a regular hexagon is inscribed circle radius 6 cm the perimeter of the regular hexagon

Answer 1

therfore it is equilateral
So, Ab= 6cm
Hence, perimeter will be 6×6 = 36 cm

Answer 2

Answer:

Perimeter of hexagon = 36 cm

Step-by-step explanation:

It is given that, radius of circle is 6 cm

A regular hexagon can be divided into 6  similar triangles.

To prove 6 triangles are equilateral triangles

From the figure attached with this answer shows such one triangle.Angle associated with center of hexagon is 60°(360/6)

Here the two sides are radius which are equal. The sum of remaining angle 180 - 60 = 120

Two angles are equal, therefore one angle = 60°

Therefore all angles are equal to 60°, all are equilateral triangles

To find the side of hexagon

All the sides of equilateral triangle are equal.

therefore one side = 6cm (radius of circle)

To find the perimeter

Perimeter of regilar hexagon = 6*side

Perimeter = 6*6 = 36 cm