In a circle with radius $30\,cm ,$ a minor arc subtends an angle of measure $60$ at the centre. Then, the area of the minor sector formed by that arc is $\ldots \ldots \ldots \ldots$ $cm ^{2}$. $(\pi=3.14)$
$471$
$628$
$1256$
$942$
Find the area of the minor segment of a circle of radius $14\,cm$, when the angle of the corresponding sector is $60^{\circ} .$ (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 $\ldots \ldots \ldots .$
The radius of a field in the shape of a sector is $50 \,m$. The cost of fencing its boundary is ₹ $5400$ at the rate of ₹ $30 / m$. Find the cost of tilling at the rate of ₹ $15 / m ^{2}$. (in ₹)
In $Fig.$ a square of diagonal $8\, cm$ is inscribed in a circle. Find the area of the shaded region.
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 $\ldots \ldots \ldots \ldots cm$.