Is circle, a polygon ?

A Tangent to a circle is a line which touches the circle at only one point.

The number of diagonals in a polygon of seven sides is

the sum of the radii of inscribed and circumscribed circules for an n sides regular polygon of side a, is

The number of rectangles that can be obtained by joining four of the twelves verties of a 12-sides regular polygon is -

The number of tangents that can be drawn to a circle at a point on the circle is………..

The number of tangents that can be drawn to a circle at a point on the circle is………..

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.

For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is There is a regular polygon with r/R=1/(sqrt(2)) (17) There is a regular polygon with r/R=2/3 (30) There is a regular polygon with r/R=(sqrt(3))/2 (47) There is a regular polygon with r/R=1/2 (60)

A regular polygon of 10 sides is constructed. Triangles are formed joining vertices of the polygon. Find the number of triangles (i) if two sides of trinangle coincide with the sides of polygon. (ii) if only one side of triangle coincide with the side of polygon.

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?