M-N Theorem || Polygons

M-N Theorem and Polygons

How many diagonals are there in a polygon of n sides?

Clssification Of Polygons On The Basis Of Numbers Of Side|What Is Diagonal?|Convex Polygons|Regular Polygons|Number Of Diagonals In A Polygon With n Side |Concave Polygons|Irregular Polygons|OMR

A circle of radius r is inscribed in a regular polygon with n sides (the circle touches all sides of the polygon). If the perimeter of the polygon is p, then the area of the polygon is

r -sided polygons are formed by joining the vertices of an n -sided polygon.Find the number of polygons that can be formed,none of whose sides coincide with those of the n - sided polygon.

(n - 1) equal point masses each of mass m are placed at the vertices of a angular n-polygon. The vacent vertex has a position vector a with respect to the centre of the polygon. Find the position vector of centre of mass.

Discuss the applicability of Rolle's theorem of the following functions: f(x) =(x-a)^(m) (x-b)^(n), m, n in Z^(+) , in the interval [a,b]

Three vertices of a convex n sided polygon are selected.If the number of triangles that can be constructed such that none of the sides of the triangle is also the side of the polygon is 30, then the polygon is a

Find the number of diagonals in the convex polygon of n sides .