Home
Class 12
MATHS
I(n) is the area of n sided refular poly...

`I_(n)` is the area of n sided refular polygon inscribed in a circle unit radius and `O_(n)` be the area of the polygon circumscribing the given circle, prove that `I_(n)=O_(n)/2(1+sqrt(1-((2I_(n))/n)^(2)))`

Promotional Banner

Similar Questions

Explore conceptually related problems

The interior angle of a n sided regular polygon is 48^(@) more than the interior angle of a regular hexagon. Find n.

Prove that ((n),(r))+2((n),(r-1))+((n),(r-2))=((n+2),(r))

If a convex polygon has 44 diagonals, than find the number of its sides. Remember : Numbers of diagonal of the polygon having n sides = ((n),(2))-n.

n is any integer then arg(((sqrt(3)+i)^(4n+1))/((1-sqrt(3)i)^(4n)))=....

Prove that (n!) (n + 2) = [n! + (n + 1)!]

If z_1 and bar z_1 represent adjacent vertices of a regular polygon of n sides where centre is origin and if (Im(z))/(Re(z)) = sqrt(2) - 1 , then n is equal to:

If a polygon of ‘n’ sides has (1)/(2) n (n-3) diagonals. How many sides are there in a polygon with 65 diagonals? Is there a polygon with 50 diagonals?

If i=sqrt(-1), the number of values of i^(-n) for a different n inI is

Using the principle of mathematical induction, prove that : 1. 2. 3+2. 3. 4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4^ for all n in N .

Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx