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Breadth of Annulus given Longest Interval and Inner Circle Radius Calculator

Formula Used:

\[ Breadth\ of\ Annulus = \sqrt{\left(\frac{Longest\ Interval\ of\ Annulus}{2}\right)^2 + Inner\ Circle\ Radius\ of\ Annulus^2} - Inner\ Circle\ Radius\ of\ Annulus \]

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1. What is the Breadth of Annulus?

The Breadth of Annulus is defined as the shortest distance or measurement between the outer circle and inner circle of an Annulus. It represents the width of the annular region between two concentric circles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Breadth\ of\ Annulus = \sqrt{\left(\frac{Longest\ Interval\ of\ Annulus}{2}\right)^2 + Inner\ Circle\ Radius\ of\ Annulus^2} - Inner\ Circle\ Radius\ of\ Annulus \]

Where:

Explanation: This formula calculates the breadth of the annulus using the longest chord (tangent to the inner circle) and the radius of the inner circle.

3. Importance of Annulus Breadth Calculation

Details: Calculating the breadth of annulus is important in various engineering and geometric applications, particularly in mechanical design, piping systems, and structural components where annular spaces are used.

4. Using the Calculator

Tips: Enter the longest interval of annulus and the inner circle radius in meters. Both values must be positive numbers. The calculator will compute the breadth 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 ring or washer.

Q2: What is the Longest Interval of Annulus?
A: The longest interval of annulus is the length of the longest chord that can be drawn within the annulus, which is tangent to the inner circle.

Q3: Can this formula be used for any size of annulus?
A: Yes, this formula works for any annulus where the inner circle radius is known and the longest interval can be measured or calculated.

Q4: What are the units of measurement?
A: The calculator uses meters, but the formula works with any consistent unit of length (cm, mm, inches, etc.).

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values. The result accuracy depends on the precision of the input measurements.

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