Circumference to Diameter: Understanding the Relationship
What is Circumference?
The circumference of a circle is the distance around the circle. It is a measure of the circle's perimeter. You can think of it as the distance you would travel if you were to walk around the circle.
What is Diameter?
The diameter of a circle is the longest distance across the circle, passing through its center. It is a line that divides the circle into two equal parts.
The Relationship Between Circumference and Diameter
There is a fixed relationship between the circumference and diameter of a circle. The circumference is equal to pi (π) times the diameter. This can be expressed mathematically as:
C = πd
Where C is the circumference and d is the diameter.
Pi (π)
Pi (π) is a mathematical constant approximately equal to 3.14. It is a universal constant that represents the ratio of the circumference of a circle to its diameter.
How to Convert Circumference to Diameter
To convert circumference to diameter, you can use the following formula:
d = C / π
Where d is the diameter and C is the circumference.
Example
If the circumference of a circle is 20 cm, what is its diameter?
d = 20 / 3.14 d = 6.37 cm
Therefore, the diameter of the circle is approximately 6.37 cm.
Conclusion
In conclusion, the circumference and diameter of a circle are closely related, with the circumference being equal to pi times the diameter. By understanding this relationship, you can easily convert between circumference and diameter.
