How do you convert circumference to diameter?
To convert from circumference to diameter, you can use the mathematical constant π (pi), which is approximately equal to 3.14159. The formula for this conversion is:
Diameter (D) = Circumference (C) / π
Here's how you can convert the circumference of a circle to its diameter:
Measure Circumference: First, measure the circumference of the circle. Make sure you have this value in hand.
Use the Formula: Plug the circumference value (C) into the formula mentioned above:
Diameter (D) = Circumference (C) / π
Calculate: Divide the circumference by π to find the diameter. Use your calculator to perform this division:
D = C / π
Observe Units: Ensure that the units of the circumference and diameter are consistent. If your circumference was in inches, your diameter will be in inches as well.
For example, let's say you have a circle with a circumference of 15.7 inches. To find the diameter, you'd use the formula:
Diameter (D) = 15.7 inches / π ≈ 5 inches
So, the diameter of the circle is approximately 5 inches.
Keep in mind that π is an irrational number, which means it goes on infinitely without repeating. In calculations, you can typically use π rounded to a reasonable number of decimal places, such as 3.14159, for most applications. However, for extremely precise work, you may use more decimal places of π.
