Area of circle is equal to the area of a rectangle having a perimeter of $50$ cm and the length is more than its breadth by $3$ cm. What is the diameter of the circle?

The area of a rectangle is $4$ times the area of a square. The length of the rectangle is $90$ cm and the breadth of the rectangle is $\frac{2}{3}$rd of the side of the square. What is the side of the square?

A ladder is resting with one end in contact with the top of a wall of height $60$ m and the other end on the ground is at a distance of $11$ m from the wall. The length of the ladder is:

The circumference of a circle is equal to the perimeter of a rectangle. The length and the breadth of the rectangle of $45$ cm and $43$ cm respectively. What is half the radius of the circle?

A circular wire of radius $42$ cm is cut and bent in the form of a rectangle whose sides are in the ratio of $6:5$. Find $25\%$ of the smaller side of the rectangle.

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

The difference between the circumference and diameter of a circle is $150$ m. The radius of that circle is:

Take: $\pi =\frac{22}{7}$