Question

The smallest possible radius of a circle such that it is possible to place 6 points on the circumference with an integer distance between any two is x/π. The value of 'x' is ___ .

Answer 1

The smallest radius means the smallest circumference.

Circumference = 2$\pi$r

With six points equidistant with distance between them to be integer, this integer has to be smallest i.e. 1

Circumference = 6 units

2$\pi$r = 6

r = $\frac{3}{\pi }$

So, x = 3