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

The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm²) of the cone is: (Taken π=22/7)

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

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?

If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?

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?

The area of an equilateral triangle is 25√3 cm², then its perimeter is –