Prove that the sum of the radii of the radii of the circles, which are, respectively, inscribed and circumscribed about a polygon of `n` sides, whose side length is `a ,` is `1/2acotpi/(2n)dot`

Find the sum of the radii of the circles, which are respectively inscribed and circumscribed about the a regular polygon of n sides.

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

Prove that the area of a regular polygon hawing 2n sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscribed polygons of n sides.

If R is the radius of circumscribing circle of a regular polygon of n-sides,then R =

If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to

Given that the area of a polygon of n sides circumscribed about a circle is to the area of the circumscribed polygon of 2n sides as 3:2 find n.

The ionic radii of N^(3-), O^(2-) and F^(-) are respectively given by:

the sum of the radii of inscribed and circumscribed circle of an n sides regular polygon of side a is (A) a/2 cot (pi/(2n)) (B) acot(pi/(2n)) (C) a/4 cos, pi/(2n)) (D) a cot (pi/n)

If the sum of the areas of two circles with radii R_(1) and R_(2) is equal to the area of a circle of radius R, then

A circle is inscribed inside a regular pentagon and another circle is circumscribed about this pentagon.Similarly a circle is inscribed in a regular heptagon and another circumscribed about the heptagon. The area of the regions between the two circles in two cases are A_1 and A_2 , respectively. If each polygon has a side length of 2 units then which one of the following is true?