In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is one-eighth of the circumference of the circle. Then, the measure of the angle subtended at the centre by that arc is $\ldots \ldots \ldots \ldots$
In $\odot( O , 12)$, minor $\widehat{ ACB }$ subtends an angle of measure $30$ at the centre. Then. the length of major $\widehat{A D B}$ is $\ldots \ldots \ldots . . cm .$
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 $cm ^{2}$)
As shown in the diagram, $\overline{ OA }$ and $\overline{O B}$ are two radii of $\odot( O , 35 cm )$ perpendicular to each other. If $OD =12\, cm ,$ find
the area of the shaded region. (in $cm^2$)
The diameters of front and rear wheels of a tractor are $80 \,cm$ and $2\, m$ respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes $1400$ revolutions.