As shown in the diagram, $\overline{ OA }$ and $\overline{ OB }$ are two radii of $\odot( O , 21 cm )$ perpendicular to each other. If $OD =10 \,cm ,$ find the area of the shaded region. (in $cm^2$)
$1125$
$1106$
$1208$
$1008$
Find the area of the shaded region given in $Fig.$
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 $\odot( O , r),$ chord $\overline{ AB }$ subtends a right angle at the centre. The area of minor segment $\overline{ AB } \cup \widehat{ ACB }$ is $114\,cm ^{2}$ and the area of $\Delta OAB$ is $200\,cm ^{2} .$ Then, the area of minor sector $OACB$ is ......... $cm ^{2}$.
The ratio of the areas of $\odot( O , 6)$ and $\odot( P , 12)$ is ...........
In $Fig.$ arcs are drawn by taking vertices $A , B$ and $C$ of an equilateral triangle of side $10 \, cm$. to intersect the sides $BC, CA$ and $AB$ at their respective mid-points $D , E$ and $F$. Find the area of the shaded region (Use $\pi=3.14)$ (in $cm ^{2}$)