With the vertices $A , B$ and $C$ of a triangle $ABC$ as centres, arcs are drawn with radii $5 \,cm$ each as shown in $Fig.$ If $AB =14 \,cm , BC =48 \,cm$ and $CA =50\, cm ,$ then find the area of the shaded region. (Use $\pi=3.14)$ (in $cm^2$)
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.
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 $cm^2$)
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 a circle, the length of a minor arc is $110 \,cm$ and it subtends an angle of measure $150$ at the centre. Then, the radius of the circle is $\ldots \ldots \ldots \ldots cm$.