A square park has an area equal to the area of a rectangle whose length exceeds its breadth by 9 m and the breadth is half the side of the square. Find the side of the square.

A square park has an area equal to the area of a rectangle whose length exceeds its breadth by 9 m and the breadth is half the side of the square. Find the side of the square.

A circle is inscribed in a triangle with sides 28 cm, 45 cm and 53 cm. What is the area of the triangle excluding the area of the circle? (Use π = 3.14)

Two plots of land have the same perimeter. One is square of side 24 m and the other is a rectangle of length 28 m. The difference in their areas is

The sides of a rectangular field are 169 m and 154 m long. Its area is equal to the area of a circular field. What is the circumference (in m) of the circular field?
Take $$\pi = \frac{22}{7}$$​

The areas of a rectangular garden and a square garden are equal. If the length and thebreadth of the first garden are 32 m and 8 m, then find the perimeter of the squaregarden.

The area of an equilateral triangle inscribed in a circle of radius 2 unit is:

A wire in the form of a circle of radius 7 cm is bent to form of square. Find the length of the diagonal of the square.

(Take π = $$\frac{22}{7}$$​)​

If the area of an incircle of an equilateral triangle is 462 $$\text{cm}^2$$​, find the perimeter of the triangle.

Area of a square is equal to ten times the area of a rectangle of edge 5 cm × 8 cm. What is the perimeter of the square?

The ratio of the area of a circle and that of an equilateral triangle, where the diameter of the circle is equal to the sides of the equilateral triangle, is: