From a point within an equilateral triangle, perpendiculars drawn to the three sides, are 6 cm, 7 cm and 8 cm respectively. the length of the side of the triangle is:

A The cost of building a fence around a circular field is ₹7,425 at the rate of 13.50 per foot. What is the area of the circular field? [use $$π={22\over 7}$$]

If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is 

How many metres of 2-m-wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m ignore wastage?

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?

Length of rectangle is 80% of diagonal of square of area 1225, then find area of rectangle if it's perimeter is 94√2.

The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden:

A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?