The sides of a triangle are $6\, cm$,$11\, cm$,and $15\, cm$. The radius of its incircle is

$A$ man runs around a circle of $50\, m$ radius at a speed of $12\, km/h$. Find the time taken by him for going around it ten times (in $minutes$).

If the area of a square is equal to the area of a rectangle $6.4 \, m$ long and $2.5 \, m$ wide,then each side of the square measures (in $m$)

If the length and breadth of a rectangular plot are increased by $50 \%$ and $20 \%$ respectively,then how many times will its area be increased?

$A$ farmer wishes to start a $100 \, m^2$ rectangular vegetable garden. Since he has only $30 \, m$ of barbed wire,he fences three sides of the garden,using his house compound wall as the fourth side. The dimensions of the garden are:

$A$ circular wire of length $168 \text{ cm}$ is cut and bent in the form of a rectangle whose sides are in the ratio of $5:7$. What is the length (in $\text{cm}$) of the diagonal of the rectangle?