The ratio of radii of two circles is $2: 3$ and the ratio of the angles at centre of two minor sectors of those circles is $5: 2 .$ Then, the ratio of the areas of those sectors is...........
$10: 9$
$25: 9$
$5: 3$
$25: 6$
In a circle with radius $21 \,cm$, the length of a minor arc is $33 \,cm .$ Find the measure of the angle subtended at the centre by this arc. Also find the area of the minor sector and the minor segment formed by it.
The ratio of areas of two circles is $25: 36 .$ Then, the ratio of their circumferences is.........
In $\odot$ $(P, 20),$ the area of a minor sector is $150\, cm ^{2}$. The length of the arc corresponding to that sector is $\ldots \ldots \ldots$ $cm .$
Length of a minor arc in a circle with radtus $28\, cm$ is $22\, cm$. Find the measure of the fwo angle subtended at the centre by this arc. Also find the area of the sector formed by this arc.
A circular pond is $17.5 \,m$ is of diameter. It is surrounded by a $2 \,m$ wide path. Find the cost of constructing the path at the rate of $Rs.\, 25$ per $m ^{2}$ (in $Rs.$)