In $\odot( O , r),$ minor $\widehat{ ACB }$ subtends an angle of measure $72$ at the centre. Then, the ratio of the length of minor $\widehat{A C B}$ and the circumference of the circle is ............
$1:5$
$1:6$
$1:8$
$1:9$
In $Fig.$ a circle is inscribed in a square of side $5 \,cm$ and another circle is circumscribing the square. Is it true to say that area of the outer circle is two times the area of the inner circle? Give reasons for your answer.
The diagram below is formed by three semicircles. If $OA = OB =70\, cm ,$ find the area of the figure formed. (in $cm^2$)
The length of the minute hand of a clock is $14\, cm .$ The area of the region swept by it in $10$ minutes is $\ldots \ldots \ldots cm ^{2}$.
Three circles each of radius $3.5\, cm$ are drawn in such a way that each of them touches the other two. Find the area enclosed between these circles. (in $cm ^{2}$)
Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?