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Radius of Inner Circle of Annulus given Area and Breadth Calculator

Formula Used:

\[ r_{Inner} = \frac{\left(\frac{\frac{A}{\pi}}{b} - b\right)}{2} \]

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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 (ring-shaped space).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{Inner} = \frac{\left(\frac{\frac{A}{\pi}}{b} - b\right)}{2} \]

Where:

Explanation: This formula calculates the inner radius of an annulus when the total area and the breadth (difference between outer and inner radii) are known.

3. Importance of Inner Circle Radius Calculation

Details: Calculating the inner radius is essential in various engineering and design applications involving ring-shaped structures, such as pipes, washers, and mechanical components where precise dimensions are critical.

4. Using the Calculator

Tips: Enter the area of the annulus in square meters and the breadth 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 or area, bounded by two concentric circles of different radii.

Q2: How is breadth of annulus defined?
A: Breadth of annulus is defined as the shortest distance or measurement between the outer circle and inner circle of the annulus.

Q3: Can this formula be used for any annulus?
A: Yes, this formula applies to any annulus where the area and breadth are known, provided the measurements are in consistent units.

Q4: What are practical applications of this calculation?
A: This calculation is used in mechanical engineering, architecture, manufacturing, and various fields where ring-shaped components are designed and analyzed.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise when accurate input values are provided, using the exact value of π for computation.

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