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:

The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 cm² . Find the area of the rectangle.

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

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

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

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 .

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?