R1,R2,R3 based questions || n sided polygon and examples based

questions based on E.S.R.

questions based on Aliphatic N.S.R.

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.

let A_(1),A_(2),A_(3),...A_(n) are the vertices of a regular n sided polygon inscribed in a circle of radius R.If (A_(1)A_(2))^(2)+(A_(1)A_(3))^(2)+...(A_(1)A_(n))^(2)=14R^(2) then find the number of sides in the polygon.

If a circle touching all the n sides of a polygon of perimeter 2p has radius r, then the area of the poly-gon is (p-n)r( b) pr(c)(2p-n)r (d) (p+n)r

Illustration based upon r,r1,r2,r3

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

In the following questions , a statement of assertion (A) is followed by a statement of reason (R). A: The conjugate base of HCO_3^- , ion is H_2CO0_3 . R: Greater the strength of conjugate base, greater the strength of conjugate acid.

If a regular polygon of n sides has circum radius R and inradius r then each side of polygon is: