If point P(4, 2) lies on the circle having centre O(-1, 1), and C is the circumference of the circle, then value of $49C^2$, is:

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:

A, B, C, are three points on the circumference of a circle and if $AB = AC = 5\sqrt{2}$, angle $BAC = 90$ degrees then radius of the circle is __________.

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

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.

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

Find the value of x in the adjoining figure, if it is given that PR and QS are diameters of the circle.