In a circle with radius $21\,cm ,$ the perimeter of a minor sector is $64\,cm .$ Then. the length of the arc of that sector is $\ldots \ldots \ldots . . cm$.
$22$
$11$
$33$
$66$
In $\odot( O ,\, r),$ minor $\widehat{ ABC }$ subtends a right angle at the centre. The area of the minor segment formed by $\widehat{ ABC }$ is $14.25\,cm ^{2}$ and the area of $\Delta OAC$ is $25 \,cm ^{2}$. Then, the area of the minor sector formed by $\widehat{ ABC }$ is $\ldots \ldots \ldots cm ^{2}$.
If the length of an arc of a circle of radius $r$ is equal to that of an arc of a circle of radius $2 r$, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false? Why?
In a circle with radius $14\,cm , \overline{ OA }$ and $\overline{ OB }$ are radii perpendicular to each other. Then, the area of the minor sector corresponding to $\angle AOB$ is $\ldots \ldots \ldots . cm ^{2}$.
The length of the minute hand of a clock is $10.5\, cm .$ Find the area of the region swept by it between $2.25 \,PM$ and $2.40 \,PM$. (in $cm^2$)
In a circle with radius $10\,cm$, the area of a minor sector is $40\,cm ^{2}$. Then, the length of the arc corresponding to that circle is $\ldots \ldots \ldots \ldots cm$.