The area of the square inscribed in a circle of radius $8\, cm$ is......$cm^2$

For a triangle whose sides are $50\, m$,$78\, m$,and $112\, m$ respectively,the length of the perpendicular from the opposite angle to the side $112\, m$ is ......... $m$.

$A$ square field with side $30\, m$ is surrounded by a path of uniform width. If the area of the path is $256\, m^2$,then its width is ........ $m$.

The area of an equilateral triangle is $9 \sqrt{3} \ m^{2}$. The length (in $m$) of the median is

In the given figure,circle $P$ has a diameter of $2 \ m$ and circle $Q$ has a diameter of $1 \ m$. Find the area of the shaded region.

The breadth of a rectangular plot is $75 \%$ of its length. If the perimeter of the plot is $1050 \, m,$ what is its area (in $, m^2$)?