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 $\ldots \ldots \ldots . . cm ^{2}$.
$77$
$231$
$115.5$
$36.75$
Find the number of revolutions made by a circular wheel of area $1.54\, m ^{2}$ in rolling a distance of $176 \,m .$
Four circular cardboard pieces of radii $7\, cm$ are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces. (in $cm^2$)
In a circle with radius $20 \,cm$, the measures of the angle subtended at the centre for two distinct sectors are $15$ and $90 .$ Then, the ratio of the areas of those sectors is $\ldots \ldots \ldots .$
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 $\ldots \ldots \ldots . . cm$.
The maximum area of a triangle inscribed in a semicircle having radius $10\,cm$ is $\ldots \ldots \ldots . . cm ^{2} .$