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Breadth of Annulus given Area and Inner Circle Radius Calculator

Formula Used:

\[ Breadth\ of\ Annulus = \sqrt{\frac{Area\ of\ Annulus}{\pi} + (Inner\ Circle\ Radius\ of\ Annulus)^2} - Inner\ Circle\ Radius\ of\ Annulus \]

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1. What is the Breadth of Annulus?

The breadth of an 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 ring-shaped space between two concentric circles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Breadth\ of\ Annulus = \sqrt{\frac{Area\ of\ Annulus}{\pi} + (Inner\ Circle\ Radius\ of\ Annulus)^2} - Inner\ Circle\ Radius\ of\ Annulus \]

Where:

Explanation: This formula calculates the breadth by first finding the outer radius from the area and inner radius, then subtracting the inner radius to get the width of the annulus.

3. Importance of Annulus Calculations

Details: Annulus calculations are important in various engineering and architectural applications, including pipe design, mechanical seals, and structural components where ring-shaped elements are used.

4. Using the Calculator

Tips: Enter the area of annulus in square meters and the inner circle radius in 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: How is the area of annulus calculated?
A: The area of annulus is calculated as π(R² - r²), where R is the outer radius and r is the inner radius.

Q3: Can this calculator be used for any unit of measurement?
A: The calculator works with any consistent unit system, but the inputs must be in the same units (e.g., both in meters or both in feet).

Q4: What if I know the outer radius instead of the area?
A: If you know both inner and outer radii, the breadth is simply the difference between them (R - r).

Q5: Are there practical applications of annulus calculations?
A: Yes, annulus calculations are used in various fields including engineering (pipe design), architecture (circular structures), and manufacturing (O-rings, washers).

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