# How to find the area of a circle using diameter?

Diameter of a circle is the largest chord that is passing through the centre

The area of a circle is the amount of space enclosed within the boundary of a circle.

## Answer: Area of a circle can be calculated by finding the product of square of it's diameter with one-fourth of π

Let's look into the relationship between the area and diameter of a circle

## Explanation:

Let us consider a circle with radius 'r' and diameter 'd'

Let the area of the circle be 'A'

We know that Area of a circle is given by,

**A = πr ^{2}** ------------------------------ (1)

We know that,

d = 2r

=> r = d/2 --------------------------- (2)

Thus, by substituting equation (2) in equation (1) we get,

A = π(d/2)^{2}

=> A = (π/4) × d^{2}