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 = πr²  = πd²/4

• 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 =  πd²/4

Given that diameter of the circle is 6 units.

Then the 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 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.