1. What is the Outer Radius of Circular Ring?

The outer radius of a circular ring is the radius of the larger circle in a pair of concentric circles that form the boundary of the ring. It represents the distance from the center to the outer edge of the ring.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_{Outer} \) — Outer radius of circular ring (m)
• \( P \) — Perimeter of circular ring (m)
• \( \pi \) — Mathematical constant pi (≈3.14159)
• \( r_{Inner} \) — Inner radius of circular ring (m)

Explanation: This formula derives from the relationship between the perimeter of a circular ring and its inner and outer radii.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is essential in various engineering and design applications, particularly when working with annular shapes, pipes, and circular frames where both inner and outer dimensions are critical.

4. Using the Calculator

Tips: Enter the perimeter of the circular ring and the inner radius in meters. Both values must be positive numbers, with the inner radius being less than P/(2π) to ensure a valid outer radius.

5. Frequently Asked Questions (FAQ)

Q1: What is a circular ring?
A: A circular ring is the region between two concentric circles - it has an inner circle and an outer circle sharing the same center.

Q2: Can the inner radius be zero?
A: Yes, if the inner radius is zero, the ring becomes a solid disk, and the outer radius equals P/(2π).

Q3: What units should I use?
A: The calculator uses meters, but you can use any consistent unit system as long as both inputs use the same units.

Q4: What if I get a negative result?
A: A negative result indicates that the inner radius is larger than P/(2π), which is mathematically impossible for a valid circular ring.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming perfect circular geometry and precise input measurements.