The union of a chord of a circle and its corresponding arc is called $\ldots \ldots \ldots \ldots$
a semicircle
a segment
a sector
a circular ring
The area of the square that can be inscribed in a circle of radius $8 cm$ is (in $cm ^{2}$)
The area of $\odot( O , r)$ is $240\,cm ^{2} .$ In $\odot( O , r),$ minor $\widehat{ ACB }$ subtends an angle of measure $45$ at the centre. Then, the area of minor sector $OACB$ is $\ldots \ldots \ldots . . cm ^{2}$.
As shown in the diagram, the length of square $A B C D$ is $21\, cm .$ $\widehat{ A P C }$ is an arc of $\odot(B, BA )$ and $\widehat{A Q C}$ is an arc of $\odot( D , DA ) .$ Find the area of the shaded (ruled) portion. (in $cm^2$)
In the adjoining diagram, $\overline{ AB }$ and $\overline{ CD }$ are diameters of $\odot( O , 7\, cm )$ perpendicular to each other. A circle is drawn with diameter $\overline{ OD }$. Find the area of the shaded region. (in $cm^2$)
Find the circumference and the area of a circle with diameter $42\, cm$.