The length of a rectangle is $3/5$ of the side of a square. The radius of a circle is equal to the side of the square. The circumference of the circle is $132 \, cm$. What is the area of the rectangle if the breadth of the rectangle is $8 \, cm$? (in $cm^2$)

In a shower,$10\, cm$ of rain falls. What will be the volume of water that falls on $1$ hectare area of ground? (in $m^3$)

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 sum of the areas of the $10$ squares,the lengths of whose sides are $20 \, cm, 21 \, cm, \ldots, 29 \, cm$ respectively is ...... $cm^2$.

If the diagonal of a square is doubled to make another square,the area of the new square will

In the given figure,there is a large semicircle with diameter $AB = 56 \ cm$. Inside this,there are four smaller identical semicircles with diameters $AE, EF, FG,$ and $GB$ along the diameter $AB$. $A$ circle is inscribed such that it is tangent to the large semicircle and the two middle smaller semicircles. What is the area (in $cm^2$) of the shaded region?