To find the diameter of a circle when you have the circumference, you can use a simple mathematical formula based on the relationship between the two. The circumference (C) of a circle is calculated using the formula:
C = π × d
Where:
- C is the circumference of the circle,
- d is the diameter, and
- π (Pi) is a constant approximately equal to 3.14159.
To find the diameter from the circumference, you can rearrange this formula into:
d = C / π
Now, let’s break it down step by step:
- First, obtain the circumference of the circle. For example, let’s say the circumference is 31.4 units.
- Next, you will divide the circumference by π. Using the approximation for π (3.14 is commonly used, though 3.14159 is more precise), you would perform the calculation:
d = 31.4 / 3.14
This gives you:
d ≈ 10 units
So the diameter of the circle is approximately 10 units.
And that’s it! You’ve successfully calculated the diameter using the circumference. This method is straightforward and can be applied to any circle, making it a handy tool in geometry!