The circumference of a circle is $88 \,cm$. The length of each side of a square inscribed in that circle is $\ldots \ldots \ldots cm$.
$28 \sqrt{2}$
$56 \sqrt{2}$
$14 \sqrt{2}$
$28$
In $Fig.$, a square is inscribed in a circle of diameter $d$ and another square is circumscribing the circle. Is the area of the outer square four times the area of the inner square? Give reasons for your answer.
In a circle, the ratio of the areas of two distinct minor sectors is $1: 4 .$ Then, the ratio of the angles at the centre for those minor sectors is $\ldots \ldots \ldots \ldots .$
The circumference of the wheels of a truck is $440\, cm .$ They make $250$ rotations per minute. Then, the speed of the truck is $\ldots \ldots \ldots \ldots km / h$.
On a square cardboard sheet of area $784 \,cm ^{2}$, four congruent circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to two circular plates. Find the area of the square sheet not covered by the circular plates. (in $cm ^{2}$)
The length of a square field is $50\, m .$ A cow is tethered at one of the vertices by a $3\, m$ long rope. Find the area of the region of the field in which the cow can graze. $(\pi=3.14)$ (in $m^2$)