Answer:
The perimeter = 6r
Step-by-step explanation:
∵ the regular hexagon consists of 6 equilateral triangle
∴ The 3 sides of each triangle are equal
∵ Regular hexagon is inscribed in a circle
∴ Each vertex of the regular hexagon lies on the circle
∴ the radius of the circle is the the side of the triangle
∴ The length of each side of the triangle = r
∵ The regular hexagon has 6 equal sides all of them are the bases of the six equilateral triangles
∴ The perimeter of hexagon = 6 × r = 6r
