$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \text{ cm}$ and $26 \text{ cm}$. The area of the circle is .......... $\text{cm}^2$. [Take $\pi = \frac{22}{7}$]

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?

Each side of an equilateral triangle is increased by $1.5 \%$. The percentage increase in its area is......$\%$

The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ $36.72$ per hectare is ₹ $495.72$,then find its base and height.

The length of a rectangular plot is thrice of its breadth. If the area of the rectangular plot is $7803 \ m^2$,what is the breadth of the rectangular plot? (in $m$)

$A$ wire is in the form of a circle of radius $42 \ cm$. It is bent into a square. The side of the square is? (in $cm$)