R. Gupta Solutions for Exercise 1: EXERCISE

If the diameter of a circle is increased by $100\%$ its area is increased by?

The ratio of radii of two circles is $1:3$. The ratio of their areas is?

The area of the largest triangle that can be inscribed in a semicircle of radius $r cm$ is?

The perimeter of a rhombus is $52 m$, while its longer diagonal has a length of $24 m$. The length of the other diagonal is?

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?

The ratio of the corresponding sides of two similar triangles is $3:4$. The ratio of their areas?

A rectangular carpet has an area of $60 {\mathrm{m}}^2$. Its diagonal and longer side together equal $5$ times the shorter side. If the diagonal is $13 \mathrm{m}$ long then, the length of the carpet is:

The ratio of the area of a square of side $a$ and of an equilateral triangle of side $a$ is?