NIMCET 2016 Question Paper with solutions

Question : 53 of 120

Marks: +1, -0

If a twelve sides regular polygon is inscribed in acircle of radius 3 centimeters, then the length ofeach side of the polygon is;

Solution:

Let the side of regular polygon is a
Length of the each side of polygon is

a=2R\sin(π/n)

=2×3\sin(180/12)

=6\sin(15°)

=6(√3-1)/{2√2}

={3(√3-1)}/√2

={3√2}/2(√3-1)

={3√6-3√2}/2

None option is correct.

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