The perimeter of a semi-circle is 25.7 cm. What is its diameter (in cm)? (π = 3.14)

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?

On a rainy day, 60 cm of rain is recorded in a region. What is the volume of water collected in an open and empty rectangular water tank that measures 12 m (length) ×10 m (width) and 50 cm (depth)?

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

The angles of triangle are in the ratio 3:4:5 the measure of the largest angle of the triangle is

What is the height of a solid right circular cylinder whose radius is 3 cm and total surface area is 60 πcm² ?

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is

A circular wire of diameter 42 cm is folded in the shape of a rectangle whose sides are in the ratio 6 : 5 . Find the area enclosed by the rectangle. (Take π = 22/7 )