The circumference of the circle is 18.84 cm and the area of the circle is 28.26 sq. cm if it has a diameter of 6 cm.
What are the circumference and area of a circle?
- A circle with a radius of r units has a circumference of 2πr units and an area of πr² sq. units.
- A circle with a diameter of d units has a circumference of π×d units and an area of πd²/4 sq. units.
- A circumference gives the perimeter of the circle (the length of the outer line of the circle) and an area gives the entire space occupied by the circle on the surface.
Calculating the circumference and area for the given circle:
The given circle has a diameter and of length 6 cm i.e., d=6 cm, and it is given that the value of the pie is 3.14 i.e., π=3.14.
Calculating the circumference:
The circumference is obtained by π×d units
⇒ π×6 cm
⇒ 3.14 × 6
⇒ 18.84 cm
∴ The circumference = 18.84 cm
Calculating the area:
The area of the circle is obtained by πd²/4 sq. units
we have d=6 cm and π=3.14
On substituting
area = πd²/4 sq. units
= (3.14 × 6²)/4 sq. cm
= (3.14 × 36)/4 sq. cm
= 113.04/4 sq. cm
= 28.26 sq. cm
∴ The area = 28.26 sq. cm
So, the given circle with a diameter of 6 cm has a circumference of 18.84 cm and an area of 28.26 sq. cm.
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