Radius of Outer Circle of Annulus Given Longest Interval and Breadth Calculator

Formula Used:

\[ r_{Outer} = \frac{\frac{\frac{l^2}{4}}{b} + b}{2} \]

Outer Circle Radius of Annulus (r_Outer):

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1. What is the Outer Circle Radius of Annulus?

The Outer Circle Radius of Annulus is the radius of the larger circle in a pair of concentric circles that form an annulus (ring-shaped region). It represents the distance from the center to the outer boundary of the annulus.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{Outer} = \frac{\frac{\frac{l^2}{4}}{b} + b}{2} \]

Where:

\( r_{Outer} \) — Outer Circle Radius of Annulus (m)
\( l \) — Longest Interval of Annulus (m)
\( b \) — Breadth of Annulus (m)

Explanation: This formula calculates the outer radius of an annulus using the longest chord length (which is tangent to the inner circle) and the width of the annular region.

3. Importance of Outer Circle Radius Calculation

Details: Calculating the outer radius is essential in various engineering and design applications involving annular shapes, such as pipe systems, bearings, and architectural elements. It helps determine the overall dimensions and properties of circular ring structures.

4. Using the Calculator

Tips: Enter the longest interval (chord length) and breadth (width) of the annulus in meters. Both values must be positive numbers. The calculator will compute the outer radius of the annulus.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped region between two concentric circles, resembling a flat circular ring or washer.

Q2: How is the longest interval of annulus defined?
A: The longest interval is the longest chord that can be drawn within the annulus, which is tangent to the inner circle.

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

Q4: Can this formula be used for any annulus?
A: Yes, this formula works for any annulus where you know the longest chord length and the breadth (width) of the annular region.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of circles and annuli, assuming precise input values.