Circumference to Diameter Calculator

How to Calculate Circumference and Diameter

Understanding the relationship between a circle's circumference and diameter is fundamental in geometry. Here's a comprehensive guide on how to calculate and convert between these measurements:

Circle Formulas

The key formulas for calculating circle circumference and diameter are:

• Circumference (C) = πd, where d is the diameter
• Diameter (d) = C/π

Where π (pi) is approximately 3.14159.

Calculation Steps

1. Identify whether you have the circumference or diameter.
2. Choose the appropriate formula based on the given value.
3. Substitute the known value into the formula.
4. Perform the calculation to find the unknown value.

Example Calculation

Let's calculate the diameter of a circle with a circumference of 31.4159 units:

1. Given: Circumference (C) = 31.4159 units
2. Formula: d = C/π
3. Substitution: d = 31.4159 / π
4. Calculation: d ≈ 31.4159 / 3.14159 ≈ 10 units

Visual Representation

This pie chart visually represents the relationship between the diameter and the remaining circumference of a circle with a circumference of 31.4159 units, illustrating how the circumference is approximately 3.14159 times the diameter.