The circumference of $2$ circles is $88 \, m$ and $220 \, m$ respectively. What is the difference between the area of the larger circle and the smaller circle? (in $m^2$)

An error of $2 \%$ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is.....$\%$

In $\Delta ABC$,$AD$ and $AE$ are bisectors of $\angle BAC$ and $\angle BAD$ respectively. If $\angle BAE = 30^{\circ}$,$AE = 9 \text{ cm}$,and $EC = 15 \text{ cm}$,what is the area (in $\text{cm}^2$) of $\Delta AEC$?

Two roads $XY$ and $YZ$ of $15 \ m$ and $20 \ m$ length respectively are perpendicular to each other. What is the distance between $X$ and $Z$ by the shortest route? (in $m$)

If a regular hexagon is inscribed in a circle of radius $r,$ then its perimeter is........$r$.

$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$