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.