# What is the area of a circle with a diameter of 6 units?

**Solution:**

A circle is a collection of points on a two-dimensional plane, which are equidistant from the center point 'O'.

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

Area of a Circle = πr^{2 }= πd^{2}/4

- where r is the radius of the circle
- where d is the diameter of the circle.
- π is the constant whose value is approximately 22/7 or 3.14...

So, the area of circle = πd^{2}/4

Given that diameter of the circle is 6 units.

Then the area of circle = πd^{2}/4 = π(6)^{2} / 4 = π (36) /4 = 9π square units. = 28.27 sq.units approx

Thus, the area of a circle with a diameter of 6 units is approx. 28.27 sq. units or 9π sq. units.

## What is the area of a circle with a diameter of 6 units?

**Summary:**

The area of a circle with a diameter of 6 units is 28.27 sq. units or 9π square units.

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