If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals

If the area of a circle and the square are equal then the ratio of their perimeter is

From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is:

What is a point at equidistant from the vertices of a triangle called?

If in a triangle the circumcentre, incentre, centroid and orthocentre are at the same place, then what will that triangle be like?

A circle touches all four sides of a quadrilateral ABCD. If AB = 18 cm, BC = 21 cm and  = 15 cm, then length CD is: 

Each side of a square is 6 cm. On which a pyramid has been built, its slant height is 4: 2 cm. Find the total surface of the pyramid?

A circular pavement was to be built around a square park of side 18 m. The maximum width of pavement is 5 m. Calculate the cost of cementing the pavement at Rs. 15 per m² .