As shown in the diagram, rectangle $ABCD$ is inscribed in a circle. If $AB =8 \,cm$ and $BC =6\, cm ,$ find the area of the shaded region in the diagram. $(\pi=3.14)$ (in $cm^2$)

A chord of a circle of radius $20\, cm$ subtends an angle of $90^{\circ}$ at the centre. Find the area of the corresponding major segment of the circle. (Use $\pi=3.14)$ (in $cm^2$)

In $\odot( O ,\, r),$ minor $\widehat{ ABC }$ subtends a right angle at the centre. The area of the minor segment formed by $\widehat{ ABC }$ is $14.25\,cm ^{2}$ and the area of $\Delta OAC$ is $25 \,cm ^{2}$. Then, the area of the minor sector formed by $\widehat{ ABC }$ is $\ldots \ldots \ldots cm ^{2}$.

The length of square $ABCD$ is $14\, cm$. As shown in the diagram, circles with radius $7 \,cm$ are drawn with each vertex as centre so that each circle touches two other circles externally. Find the area of the shaded region. (in $cm^2$)

The length of the minute hand of a clock is $12\,cm .$ The area of the region swept by it in $5$ minutes is $\ldots \ldots \ldots . . cm ^{2} .(\pi=3.14)$

The area of a circle is $75.46\, cm ^{2}$. Find its circumference. (in $cm$)