As shown in the diagram, the length of square garden $ABCD$ is $60\, m$. Flower beds are prepared in the shape of segment on two opposite sides of the square. The centre of the segments is the point of intersection of the diagonals of square $ABCD.$ Find the area of the flower beds. $(\pi=3.14)$ (in $m^2$)

In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is $\frac{1}{6}$ times the circumference of the circle. Then, the measure of the angle subtended at the centre by minor $\widehat{ ACB }$ is .........

The length of minor $\widehat{ AB }$ of a circle is $\frac{1}{4}$ th of its circumference, then the measure of the angle subtended by minor $\widehat{ AB }$ at the centre will be $\ldots .$

In a circle with radius $6\, cm ,$ a minor are subtends an angle of measure $60$ at the centre. Find the area of the minor sector and the major sector corresponding to that arc.

Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters $20\, cm$ and $48 \,cm .$ (in $cm$)

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 $cm^2$)