Inside a square plot,a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is $28\, m$. What is the area of the space left out in the square plot after developing the garden? (in $m^2$)

$A$ circle is inscribed in an equilateral triangle of side $8 \text{ cm}$. The area of the portion between the triangle and the circle is ...... $\text{cm}^2$.

$A$ person $A$ takes $15 \text{ seconds}$ to cross a rectangular field diagonally walking at a speed of $52 \text{ m/min}$. $A$ person $B$ takes the same time to cross the same field along its sides (length + width) walking at a speed of $68 \text{ m/min}$. The area of the field is $....... \text{ m}^2$.

$A$ room is $7 \text{ m}$ long and $5 \text{ m}$ broad. The doors and windows occupy $5 \text{ m}^2$. The cost of papering the remaining part of the walls with paper $75 \text{ cm}$ wide,at ₹ $4.20$ per piece of $13 \text{ m}$,is ₹ $39.20$. Find the height of the room (in $\text{m}$).

If the sides of a rectangle are increased by $20 \%$,the percentage increase in its perimeter is

The area of a circle is same as the area of a square. What is the ratio of the diameter of the circle and the diagonal of the square?