Two identical circles intersect each other such that each passes through the centre of the other. Length of common chord is 16√3 cm. What is the radius of each circle?

The total area of a circle and a square is 5450 cm². The diameter of the circle is 70 cm. What is the difference between the circumference of the circle and the perimeter of the square?

Each side of an equilateral triangle is 6 cm. Find its area.

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical?

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

The perimeter of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is: 

Length of a rectangle is 53 metre, while its breath is 28 metre. Cost of covering it with grass bed is Rs.27 sq meter. Find total expenditure?