The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. AB is a diameter of the circle; C is its centre. Express the diameter of the circle (d) in terms of its radius (r).
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A cube is a three-dimensional figure as shown in figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by . Find the formula for the total length of the edges of a cube.
The side of a regular hexagon is denoted by . Express the perimeter of the hexagon using .
The side of an equilateral triangle is shown by . Express the perimeter of the equilateral triangle using .
Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?