In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36°, then what is the measure of ∠BCP?

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

The ratio of the area of a square to that of the square drawn on its diagonal is

The base of a triangle is 16 cm and its area is $${144cm^2}$$. Find its corresponding height, with respect to the given base.

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 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? 

The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁ , p₂ and p₃ . The length of each side of the triangle is

The volume of a cuboid is 2 times the volume of a cube. If the dimensions of the side are 9 cm by 8 cm and 6 cm, then the total surface area of the cube is