In a circle with radius $21 \,cm$, the length of a minor arc is $33 \,cm .$ Find the measure of the angle subtended at the centre by this arc. Also find the area of the minor sector and the minor segment formed by it.
If the sum of the circumferences of two circles with radii $R_{1}$ and $R_{2}$ is equal to the circumference of a circle of radius $R ,$ then
The length of the minute hand of a clock is $10.5 \,cm .$ The area of the region swept by it in $20$ minutes is $\ldots \ldots \ldots . . cm ^{2}$.
A running track is in the shape of a circular ring. The difference of its outer circumference and inner circumference is $44\,m .$ Then, the width of the track is $\ldots \ldots \ldots \ldots$$m$.
The closed figure formed by an arc of a circle and the radii through its end points is called .........