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 boundary.

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)
• \( l \) — Longest Interval of Annulus (m)

Explanation: This formula calculates the inner radius using the Pythagorean theorem, where the longest interval is the chord tangent to the inner circle.

3. Importance of Inner Circle Radius Calculation

Details: Calculating the inner circle radius is essential for determining the area of the annulus, understanding geometric properties, and solving various engineering and mathematical problems involving concentric circles.

4. Using the Calculator

Tips: Enter the outer circle radius and longest interval in meters. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object formed by two concentric circles with different radii.

Q2: What is the longest interval of an annulus?
A: The longest interval is the chord that is tangent to the inner circle and represents the maximum distance between two points on the outer circle boundary.

Q3: Can this formula be used for any size of annulus?
A: Yes, this formula works for any annulus where the longest interval is known and the outer radius is greater than half the longest interval.

Q4: What units should be used for input values?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as all inputs use the same unit.

Q5: What if the calculated inner radius is negative?
A: The inner radius cannot be negative. If the calculation results in a negative value, it indicates invalid input values where the longest interval exceeds twice the outer radius.