As shown in the diagram, rectangle $ABCD$ is a metal sheet in which $CD =20\, cm$ and $BC =14 \,cm .$ From it, a semicircle with diameter $\overline{ BC }$ and a sector with centre $A$ and radius $AD$ is cut off. Find the area of the remaining sheet. (in $cm^2$)
$34$
$59$
$49$
$51$
Floor of a room is of dimensions $5 \,m \times 4 \,m$ and it is covered with circular tiles of diameters $50 \,cm$ each as shown in $Fig.$ Find the area of floor that remains uncovered with tiles. (Use $\pi=3.14)$ (in $m ^{2}$)
Find the area of a sector of circle of radius $21\, cm$ and central angle $120^{\circ}$. (in $cm ^{2}$)
In a circle with radius $10\, cm ,$ the area of a minor sector is $75 \,cm ^{2}$. Then, the length of the arc of that sector is $\ldots \ldots \ldots . . cm$.
Find the circumference and the area of a circular ground with radius $77\, m$.
In a circle with centre $O, \overline{O A}$ and $\overline{O B}$ are radii perpendicular to each other. The perimeter of the sector formed by these radii is $75\, cm$. Find the area of the corresponding minor segment. (in $cm^2$)