1. What is the Outer Circle Radius of Annulus?

The outer circle radius of an annulus is the radius of the larger of two concentric circles that form the boundary of the ring-shaped annulus. It represents the distance from the center to the outer edge of the annulus.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_{Outer} \) — Outer circle radius (m)
• \( A \) — Area of the annulus (m²)
• \( r_{Inner} \) — Inner circle radius (m)
• \( \pi \) — Mathematical constant pi (≈3.14159)

Explanation: This formula derives from the area formula of an annulus \( A = \pi(r_{Outer}^2 - r_{Inner}^2) \), rearranged to solve for the outer radius.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is essential in engineering, architecture, and manufacturing where annular shapes are used. It helps determine material requirements, structural properties, and spatial dimensions of ring-shaped objects.

4. Using the Calculator

Tips: Enter the area of the annulus in square meters and the inner radius in meters. Both values must be positive numbers (area > 0, inner radius ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object formed by two concentric circles - the region between two circles with the same center but different radii.

Q2: Can the inner radius be zero?
A: Yes, if the inner radius is zero, the annulus becomes a complete circle, and the formula simplifies to \( r_{Outer} = \sqrt{A/\pi} \).

Q3: What units should I use?
A: The calculator uses meters for length and square meters for area, but you can use any consistent unit system as long as both measurements use the same units.

Q4: What if I get a negative value under the square root?
A: This would indicate invalid input since \( A/\pi + r_{Inner}^2 \) should always be positive for valid annulus dimensions.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values, using the precise value of π for computation.