Question 36682
A dodecagon is a 12-sided polygon.


The area of a regular polygon of 'n'-sides with each side = 'a' is given by
{{{A = n*a^2*cot(pi/n)/4}}}


For a regular dodecagon with each side 10 cm, the area is
{{{A = 12*10^2*cot(pi/12)/4}}}
or {{{A = 300*cot(15^o)}}}
or A = 300 x 3.732 = 1119.6


Hence the reqd. area is {{{1119.6}}}{{{cm^2}}}.