Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is

Find the area of a quadrant of a circle whose circumference is $22 \, cm$. [use $\pi = \frac{22}{7}$]

$A$ chord of a circle of radius $10\, cm$ subtends a right angle at the centre. Find the area of the corresponding:
$(i)$ minor segment $\&$ $(ii)$ major sector. (Use $\pi=3.14$ )

In the figure,two circular flower beds are shown on two sides of a square lawn $ABCD$ of side $56 \, m$. If the centre of each circular flower bed is the point of intersection $O$ of the diagonals of the square lawn,find the sum of the areas of the lawn and the flower beds (in $m^2$).

$A$ brooch is made with silver wire in the form of a circle with diameter $35 \, mm$. The wire is also used in making $5$ diameters which divide the circle into $10$ equal sectors as shown in the figure. Find:
$(i)$ The total length of the silver wire required.
$(ii)$ The area of each sector of the brooch. [Use $\pi = \frac{22}{7}$]

An umbrella has $8$ ribs which are equally spaced (see $Fig.$). Assuming the umbrella to be a flat circle of radius $45 \, cm ,$ find the area between the two consecutive ribs of the umbrella. [use $\pi=\frac{22}{7}$]