The smallest possible radius of a circle such that it is possible to place 6 p

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 ___ .

Options:

Answer: Option A
:

The smallest radius means the smallest circumference.

Circumference = 2 $π$ 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 $π$ r = 6

r = $\frac{3}{π}$

So, x = 3

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