A pole 23 m long reaches a window which is 3 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street? 

If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is?

A circular grass field of diameter 42 m is surrounded by a path of width 3.5 m. What will be the cost of graveling the path at the rate ₹ 4 square meter?

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

The volume of a right rectangular pyramid is 220 m³. What is the height of the pyramid, if the area of its base is 55 m²? 

Two equal circles intersect such that each pass through the center of the other. If the length of the common chord of the circle is 10√3 cm, then what is the diameter of the circle?

The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?