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Radius Of Inner Circle Of Annulus Given Longest Interval And Breadth Calculator

Formula Used:

\[ r_{Inner} = \frac{\left(\frac{\frac{l^2}{4}}{b} - b\right)}{2} \]

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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 shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{Inner} = \frac{\left(\frac{\frac{l^2}{4}}{b} - b\right)}{2} \]

Where:

Explanation: This formula calculates the inner radius of an annulus based on the longest chord length that can be drawn within the annulus and the breadth (distance between the two concentric circles).

3. Importance of Inner Circle Radius Calculation

Details: Calculating the inner radius is essential in various engineering and geometric applications, particularly in designing circular components with hollow centers, such as pipes, rings, and washers.

4. Using the Calculator

Tips: Enter the longest interval length and breadth of the annulus in meters. Both values must be positive numbers greater than zero 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 length of the longest chord that can be drawn within the annulus, which is tangent to the inner circle.

Q3: How is breadth of annulus defined?
A: Breadth of annulus is defined as the shortest distance between the outer circle and inner circle of the annulus.

Q4: What are practical applications of this calculation?
A: This calculation is used in mechanical engineering, architecture, and manufacturing for designing circular components with specific dimensions.

Q5: Are there limitations to this formula?
A: This formula assumes perfect concentric circles and may not be accurate for irregular shapes or when the annulus is not perfectly circular.

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