Finding perimeter of polygon inscribed in circle

711 Views Asked by At

n equally spaced points are taken on the circumference of a circle of radius 1. How do you find the perimeter of the resulting regular polygon obtained by joining the n points in order?

1

There are 1 best solutions below

0
On

Hint:

Partition the regular polygon in $n$ isosceles triangles with a common vertex at the centre of the circle. The altitude of such a triangle is equal to $\cos\frac{\pi}n$. Can you find its base?