A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm²) of a square inscribed in the circle?

A container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm. and 30 cm and vertical height 14 cm. is completely filled with oil. If each cm3 of oil has mass 1.2g, then find the cost of oil in the container if its costs Rs. 40 per kg.

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

The ratio of circumradius and hypotenuse a right-angled triangle is

The adjacent angles on a straight line are in the ratio 5 ∶ 4, then the smaller angle is –

The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?

If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?