1. What is the Inner Circle Radius of Annulus?

The Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles that form the annulus (ring-shaped space).

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_{Inner} \) — Inner Circle Radius of Annulus (m)
• \( r_{Outer} \) — Outer Circle Radius of Annulus (m)
• \( A \) — Area of Annulus (m²)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the inner radius by subtracting the area contribution from the outer radius squared and taking the square root of the result.

3. Importance of Inner Circle Radius Calculation

Details: Calculating the inner radius is crucial for determining the dimensions of annular spaces, which is important in engineering, architecture, and various manufacturing applications where ring-shaped components are used.

4. Using the Calculator

Tips: Enter the outer circle radius in meters and the area of annulus in square meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object or area, bounded by two concentric circles.

Q2: Can the inner radius be larger than the outer radius?
A: No, the inner radius must always be smaller than the outer radius in a valid annulus.

Q3: What if the calculated inner radius is imaginary?
A: If the area is too large relative to the outer radius, the calculation under the square root becomes negative, indicating an invalid annulus configuration.

Q4: What units should I use?
A: The calculator uses meters for radius and square meters for area, but you can use any consistent unit system as long as you maintain consistency.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric relationship between the radii and area of an annulus.