As shown in the diagram, $\triangle ABC$ is an equilateral triangle in which $BC =70 \,cm$ and $P$ and $R$ are midpoints of $\overline{ AB }$ and $\overline{ AC }$ respectively. $\widehat{ PQR }$ is an arc of $\odot( A , AP ) .$ Find the area of the shaded region. $(\sqrt{3}=1.73)$ (in $cm^2$)
$1296.56$
$1477.58$
$1423.58$
$1325.75$
In a circle with radius $8.4\, cm ,$ a minor arc subtends an angle of measure $60$ at the centre. Find the area of the minor sector and the major sector corresponding to this arc.
In $Fig.$ arcs have been drawn of radius $21\, cm$ each with vertices $A , B , C$ and $D$ of quadrilateral $A B C D$ as centres. Find the area of the shaded region. (in $cm ^{2}$)
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...........
Area of a circle is $5544 \,cm ^{2}$. Find its radius. (in $cm$)
As shown in the diagram, the length of square $ABCD$ is $35 \,cm .$ Semicircles are drawn on its sides $\overline{ AB }$ and $\overline{ CD }$ Find the area of the shaded region. (in $cm^2$)