Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

Draw a rough sketch of a regular hexagon. Connecting any three of its vertices,draw a triangle.Identify the type of the triangle you have drawn.

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12 - sided regular polygon is :

How can you draw a circle that passes through four vertices of a rectangle ? Explain.

In the given figure a quadrilateral is formed by joining the alternate vertices of a regular octagon. If the area of the octagon be 2(sqrt2-1) sq   cm , find the area of the square.

If four vertices a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is

Draw a rough sketch and find the area of the region bounded by the parabolas y^(2)=4x and x^(2)=4y, using the method of integration.

There is a 25 sided polygon (not necessarily regular) inscribed in a circle. The maximum number of pentagons that can be made by using the vertices of the polygon is ? The maximum number of octagons that can be made by using the vertices of the polygon such that A_5, A_8& A_13 are never used while A_10 and A_20 are always used is ? The maximum number of triangles that can be made by using the vertices of the polygon such that there are atleast two but unequal number of vertices of the polygon between any two vertex of the triangle