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 $\ldots \ldots \ldots \ldots cm$.
$55$
$42$
$22$
$44$
As shown in the adjoining diagram, the length of the square plot ABCD is $50 m .$ At each vertex of the plot, a flower bed in the shape of a sector with radius $10 \,m$ is prepared. Find the area of the plot excluding the flower beds. $(\pi=3.14)$ (in $m^2$)
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 $cm^2$)
Find the area of a sector of circle of radius $21\, cm$ and central angle $120^{\circ}$. (in $cm ^{2}$)
As shown in the diagram, $\overline{ AC }$ is a diameter of the circle with centre O. $\Delta ABC$ is inscribed in a semicircle of the circle. If $AC =35 \,cm$, $AB =21\, cm$ and $BC =28\, cm ,$ find the area of the shaded region. (in $cm^2$)
The area of a circle is $75.46\, cm ^{2}$. Find its circumference. (in $cm$)