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:
:
The smallest radius means the smallest circumference.
Circumference = 2πr
With six points equidistant with distance between them to be integer, this integer has to be smallest i.e. 1
Circumference = 6 units
2πr = 6
r = 3π
So, x = 3
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:
The smallest radius means the smallest circumference.
Circumference = 2πr
With six points equidistant with distance between them to be integer, this integer has to be smallest i.e. 1
Circumference = 6 units
2πr = 6
r = 3π
So, x = 3
Was this answer helpful ?
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