Question

Find the length of the side of regular polygon of $12$ sides inscribed in a circle of radius $6cm$

Answer 1

Using formal, for a polygon

$\Rightarrow a=2r\sin \left(\frac{\pi }{n}\right)$

Where, $a=$ side of the polygon

$\Rightarrow$ $r=$ radius of circle

$\Rightarrow$ $n=$ number if sides of the polygon

Now, $n=12,$ $r=6cm$

$\therefore$ $0=2\times 6\sin \left(\frac{180°}{12}\right)$

$=12\sin 15°$

$=3.1cm$

Hence, the answer is $3.1cm.$