Neha Tyagi and Amit Rastogi Solutions for Chapter: Areas Related to Circles, Exercise 2: Exercise

The numerical value of the area of a circle is always greater than the numerical value of its circumference.

If the length of an arc of a circle of radius $r$ is equal to that of an arc of a circle of radius $2r,$ then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle.

The area of two sectors of two different circles with equal corresponding arc lengths are equal. 

The areas of two sectors of two different circles are equal if their corresponding arc lengths are equal.

The area of the largest circle that can be drawn inside a rectangle of length $a \mathrm{cm}$ and breadth $b \mathrm{cm}$ $\left(a>b\right)$is $\pi b^2 \mathrm{cm}$.

Circumference of two circles are equal, Is it necessary that their areas be equal? Why?

If areas of two circles are equal, then their circumferences are equal.

Is it true to say that area of a square inscribed in a circle of diameter $p \mathrm{cm}$ is $p^2 {\mathrm{cm}}^2?$