The circumference of a circular field is 396 m and that of the other circular field is 132 m. Find the area (in m$^2$) of the third circular field whose radius is the sum of the radii of the first two fields. Take $\pi = \frac{22}{7}$

For a circle of radius r and $\theta$ as central angle, which of the following statements is/are correct?

(A) Volume = $\frac{2}{3}\pi r^2$

(B) Circumference = $2\pi r$

(C) Area = $\pi r^2$

(D) Area of sector = $\frac{\pi r^2 \theta}{360}$

Choose the correct answer from the options given below:

The area of a sector of a circle of radius 36 cm is $72\pi$ cm². Find the length of the corresponding arc of the sector.

The ratio of the circumferences of two circles is 2 : 3. Find the ratio of their areas.

A wheel makes 2000 rounds when it covers a distance of 88 km. Find the radius of the wheel?

When a particular wire is bent into the shape of a square, then the area of the square turns out to be $81cm^2$. When the same wire is bent into a circle, then the radius of the circle (correct to two decimal places) is

The radius of a circle is 14 m. The area of the circle is: