1. What is the Diameter Formula?

The diameter formula calculates the diameter of a circle from its circumference using the mathematical constant π (pi). It's derived from the fundamental relationship between a circle's circumference and its diameter.

2. How Does the Calculator Work?

The calculator uses the diameter formula:

Where:

• \( d \) — Diameter of the circle
• \( c \) — Circumference of the circle
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula simply divides the circumference by π to get the diameter, since circumference equals π times diameter by definition.

3. Importance of Diameter Calculation

Details: Calculating diameter from circumference is essential in geometry, engineering, and various practical applications where circular measurements are involved.

4. Using the Calculator

Tips: Enter the circumference value in any consistent units (e.g., meters, inches). The result will be in the same units. Value must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of π used in calculations?
A: The calculator uses PHP's built-in pi() function which provides π to about 14 decimal places (3.1415926535898).

Q2: Can I use this for semicircles?
A: No, this formula is for full circles. For semicircles, you'd need to adjust the circumference value first.

Q3: How precise are the results?
A: Results are precise to 4 decimal places, suitable for most practical applications.

Q4: What units should I use?
A: Any consistent units can be used (cm, m, inches, etc.). The result will be in the same units as your input.

Q5: Can I calculate radius from this?
A: Yes, simply divide the diameter by 2 to get the radius.