The sides of a right-angled triangle forming the right angle are in the ratio $5: 12$. If the area of the triangle is $270 \, cm^2$,then the length of the hypotenuse is .......... $cm$.

The length of a rectangular plot of land is three times as much as its breadth. $A$ playground measuring $1200 \ ft^2$ occupies $\frac{1}{4}$ of the total area of the plot. What is the length of the plot in feet?

The length of a rectangular hall is $\frac{4}{3}$ of its width. If the area of the hall is $300 \, m^2$,what is the difference between the length and the breadth? (in $m$)

In a circle of radius $42\, cm,$ an arc subtends an angle of $72^{\circ}$ at the centre. The length of the arc is.....$cm$ (in $.8$)?

$A$ circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular path is $132 \, m$. Its width is.....$m$.

$A$ wire which when bent in the form of a square encloses an area of $484 \, cm^2$. What will be the enclosed area when the same wire is bent into the form of a circle? (in $cm^2$)