J P Mohindru and Bharat Mohindru Solutions for Chapter: Areas Related to Circles, Exercise 6: NATIONAL TALENT SEARCH EXAMINATION (NTSE)

If the radius of a circle is decreased by $50\%$, its area is decreased by

The area of the circle whose circumference is equal to the perimeter of square of side $11 \mathrm{cm}$ is

(Take $\mathrm{\pi }=\frac{22}{7}$)

A wire is in the form of a circle of radius $42 \mathrm{cm}$. It is bent into a square. Then, the side of the square considering $\mathrm{\pi }=\frac{22}{7}$ is

Which of the following is rational?

In the figure, sector of two concentric circles of radii $7 \mathrm{cm}$ and $3.5 \mathrm{cm}$ are shown. The area of the shaded region is

Assume $\left[\mathrm{\pi }=\frac{22}{7}\right]$

The ratio of the areas of the incircle and circumcircle of a square is

In the figure, $ABCD$ is a square in which length of diagonal is $46 \mathrm{cm}$. Radius of each small circle is one-fourth of the radius of larger circle, then length of radius of each small circle is

Six circles, each of radius $2 \mathrm{cm}$ are inscribed in an equilateral triangle, the perimeter of the triangle will be: