1. What is the Diameter of Sphere Formula?

The diameter of a sphere can be calculated from its circumference using the formula: D = C/π, where D is the diameter and C is the circumference of the sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D \) — Diameter of Sphere (m)
• \( C \) — Circumference of Sphere (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The diameter is calculated by dividing the circumference by π (pi), which is the mathematical constant representing the ratio of a circle's circumference to its diameter.

3. Importance of Diameter Calculation

Details: Calculating the diameter from circumference is essential in various geometric and engineering applications where the size of spherical objects needs to be determined from their outer measurements.

4. Using the Calculator

Tips: Enter the circumference of the sphere in meters. The value must be greater than 0. The calculator will compute the diameter using the formula D = C/π.

5. Frequently Asked Questions (FAQ)

Q1: Why do we divide by π to find the diameter?
A: Because the circumference of a circle (or sphere's great circle) is defined as π times the diameter (C = πD), so to find diameter we rearrange to D = C/π.

Q2: What is the value of π used in this calculation?
A: The calculator uses the PHP constant M_PI which provides π with approximately 14 decimal places of precision (3.1415926535898).

Q3: Can this formula be used for any sphere?
A: Yes, this formula works for any perfect sphere where the circumference represents the distance around the sphere's great circle.

Q4: What are the units for the result?
A: The result will be in the same units as the input circumference. If you enter meters, the diameter will be in meters.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect spheres. The accuracy depends on the precision of your circumference measurement.