In covering a distance $s$ metres, a circular wheel of radius $r$ metres makes $\frac{s}{2 \pi r}$ revolutions. Is this statement true? Why?
In $\odot( O , r),$ minor $\widehat{ ACB }$ subtends an angle of measure $72$ at the centre. Then, the ratio of the length of minor $\widehat{A C B}$ and the circumference of the circle is ............
A wire fence is to be put up all around a circular ground with diameter $105\,m$. The length of the fence is $\ldots \ldots \ldots \ldots m$.
The maximum area of $\Delta ABC$ inscribed in a semicircle with radius $10 \,cm$ is .......$cm ^{2}$.
On a square cardboard sheet of area $784 \,cm ^{2}$, four congruent circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to two circular plates. Find the area of the square sheet not covered by the circular plates. (in $cm ^{2}$)