The area of the circle and the area of a regular polygon of `n` sides and the perimeter of polygon equal to that of the circle are in the ratio of (a) `tan(pi/n):pi/n` (b) `cos(pi/n):pi/n` `sinpi/n :pi/n` (d) `cot(pi/n):pi/n`

The number of diagonals of a regular polygon of n sides are:

Find the radius of the circumscribing circle of a regular polygon of n sides each of length is a.

A regular polygon of n sides has ......... Number of lines of symmetry.

The ratio of the area of a regular polygon of n sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3 : 4 . Then the value of n is

The ratio of the area of a regular polygon of n sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3 : 4 . Then the value of n is

If I_n is the area of n-s i d e d regular polygon inscribed in a circle of unit radius and O_n be the area of the polygon circumscribing the given circle, prove that I_n=(O_n)/2(sqrt(1+((2I_n)/n)^2))

Find the derivatives of the following functions at the indicated points. 9 sin x + si n3x at x = pi/3

The value of sinpi/n + sin(3pi)/n + sin(5pi)/n +………. to n terms =

A circle is inscribed in an n-sided regular polygon A_1, A_2, …. A_n having each side a unit for any arbitrary point P on the circle, pove that sum_(i=1)^(n)(PA_i)^2=n(a^2)/(4)(1+cos^2((pi)/(n)))/(sin^2((pi)/(n)))

If inside a big circle exactly n(nlt=3) small circles, each of radius r , can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then the radius of big circle is (a) r(1+cos e cpi/n) (b) ((1+tanpi/n)/(cospi/pi)) (c) r[1+cos e c(2pi)/n] (d) (r[s inpi/(2n)+cos(2pi)/n]^2)/(sinpi/n)