Question

ABCDEF is a regular hexagon with AB = 3 cm.

What is the best approximation for the circumference of circle Q?

A. 9 cm

B. 18 cm

C. 27 cm

D. 30 cm

Answer 1

The perimeter of the hexagon is 6 times the length of its side, i.e.

`6\cdot 3 = 18`

This is the best approximation of the circumference you can give. If you want better approximations, you can increase the number of sides of the inner polygon: as the number of sides approaches infinity, the approximation will become the exact value.