In $\odot( O , 6), \widehat{ ABC }$ is a major arc and $m \angle AOC =60 .$ Then, the length of major $\widehat{ ABC }$ is ...........
$8 \pi$
$9 \pi$
$5 \pi$
$10 \pi$
The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? Why?
In a circle with radius $8.4 \,cm ,$ two radii are perpendicular to each other. The area of the minor sector formed by these radii is $\ldots \ldots \ldots cm ^{2}$.
The area of a sector formed by a $12\,cm$ long arc in a circle with radius $12\,cm$ is $\ldots \ldots \ldots . . cm ^{2}$.
In $Fig.$ $AB$ is a diameter of the circle, $AC =6\, cm$ and $BC =8 \,cm .$ Find the area of the shaded region (Use $\pi=3.14$ ). (in $cm ^{2}$)
Find the difference of the areas of a sector of angle $120^{\circ}$ and its corresponding major sector of a circle of radius $21\, cm .$ (in $cm^2$)