The radius of a wheel of a car is $21 \,cm$. If it makes $800$ rotations per minute, find the speed of the car in $km / h$.
$53.21$
$45.36$
$56.12$
$63.36$
Find the area of the shaded region in $Fig.$ where arcs drawn with centres $A , B , C$ and $D$ intersect in pairs at mid-points $P , Q , R$ and $S$ of the sides $AB , BC,$ $CD$ and $DA ,$ respectively of a square $ABCD$ (Use $\pi=3.14)$ (in $cm ^{2}$)
In $\odot( O , r) \overline{ OA }$ and $ \overline{ OB }$ are two radii perpendicular to each other. If the, perimeter of the minor sector formed by those radii is $20\,cm ,$ then $r=\ldots \ldots \ldots . . . cm$
The diagram below is formed by three semicircles. If $OA = OB =70\, cm ,$ find the area of the figure formed. (in $cm^2$)
The closed figure formed by an arc of a circle and the radii through its end points is called .........
Will it be true to say that the perimeter of a square circumscribing a circle of radius $a \,cm$ is $8 a \, cm ?$ Give reasons for your answer.