1. What is the Radius of Sphere Formula?

The formula calculates the radius of a sphere from its circumference. The relationship between circumference and radius is derived from the fundamental geometric properties of a sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of the sphere (meters)
• \( C \) — Circumference of the sphere (meters)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula divides the circumference by twice the value of pi to obtain the radius, as circumference equals \( 2\pi r \).

3. Importance of Radius Calculation

Details: Calculating the radius from circumference is essential in various fields including geometry, physics, engineering, and architecture where spherical objects are involved.

4. Using the Calculator

Tips: Enter the circumference of the sphere in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between circumference and radius?
A: The circumference of a sphere is directly proportional to its radius, with the relationship defined by \( C = 2\pi r \).

Q2: Can this formula be used for circles as well?
A: Yes, the same formula applies to circles since both circles and spheres share the same circumference-radius relationship in two dimensions.

Q3: What units should be used for input?
A: The calculator uses meters, but the formula works with any consistent unit system (cm, inches, etc.).

Q4: How accurate is the calculation?
A: The accuracy depends on the precision of the input value and the mathematical constant pi used in the calculation.

Q5: What if I have the diameter instead of circumference?
A: If you have the diameter, you can calculate radius directly by dividing diameter by 2, without needing the circumference.