How to find the area of a circle using diameter?

The diameter of a circle is the largest chord that passes through the centre.

The area of a circle is the amount of space enclosed within the boundary of a circle and it is expressed in square units.

Answer: The area of a circle using diameter can be found by the formula, Area = 1/4πd², where 'd' is the diameter of the circle and 'π' (pi) is a constant with a value of 22/7 or 3.14

Let us understand this with the following example.

Explanation:

If the diameter of a circle is 7 units, find its area.

Solution:

The formula to calculate the area of a circle is, Area using diameter = 1/4πd²

Here, d = 7, and π = 22/7, therefore, we will substitute these values in the equation.

Area = 1/4πd²

Area = 1/4 × 22/7 × 7²

Area = 1/4 × 22/7 × 7 × 7

Area = 38.5 square units

Thus, the area of a circle using diameter can be found by using the formula, Area = 1/4πd², where 'd' is the diameter of the circle and 'π' (pi) is a constant with a value of 22/7 or 3.14