The diameter of a circle whose area is numerically 110 more than its circumference is

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.

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:

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

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 __________.

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:

Four circles of equal radius are drawn with centers, A, B, C and D such that ABCD is a square of side 14 cm and the circles touch externally as in the figure. The area of the shaded region bounded by the 4 circles is: (Take $\pi = \frac{22}{7}$)