The area of a sector formed by a $12\,cm$ long arc in a circle with radius $12\,cm$ is $\ldots \ldots \ldots . . cm ^{2}$.
$144$
$72$
$36$
$48$
A cow is tied with a rope of length $14\, m$ at the corner of a rectangular field of dimensions $20 \,m \times 16 \,m$. Find the area of the field in which the cow can graze. (in $m ^{2}$)
The length of a square field is $50\, m .$ A cow is tethered at one of the vertices by a $3\, m$ long rope. Find the area of the region of the field in which the cow can graze. $(\pi=3.14)$ (in $m^2$)
The length of minor $\widehat{ AB }$ of a circle is $\frac{1}{4}$ th of its circumference, then the measure of the angle subtended by minor $\widehat{ AB }$ at the centre will be $\ldots .$
Area of a sector of a circle of radius $36\, cm$ is $54 \pi \,cm ^{2}$. Find the length of the corresponding arc of the sector. (in $cm$)
As shown in the diagram, rectangle $ABCD$ is inscribed in a circle. If $AB =8 \,cm$ and $BC =6\, cm ,$ find the area of the shaded region in the diagram. $(\pi=3.14)$ (in $cm^2$)