What is the area of a circle with a diameter of 6 units? (2024)

Solution:

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

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

Area of a Circle= πr²= πd²/4

• where ris the radius of the circle
• wheredis the diameter of the circle.
• πis the constant whose value is approximately 22/7 or 3.14...

So, the area of circle =πd²/4

Given that diameter of the circle is 6units.

Thenthe area of circle =πd²/4=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 or9π sq. units.

Summary:

The area of a circle with a diameter of 6 units is 28.27 sq. units or9π square units.