Breadth of Annulus given Area and Outer Circle Radius Calculator

Formula Used:

\[ \text{Breadth of Annulus} = \text{Outer Circle Radius of Annulus} - \sqrt{\text{Outer Circle Radius of Annulus}^2 - \frac{\text{Area of Annulus}}{\pi}} \] \[ b = r_{\text{Outer}} - \sqrt{r_{\text{Outer}}^2 - \frac{A}{\pi}} \]

Breadth 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 ring-shaped space between two concentric circles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = r_{\text{Outer}} - \sqrt{r_{\text{Outer}}^2 - \frac{A}{\pi}} \]

Where:

\( b \) — Breadth of Annulus (m)
\( r_{\text{Outer}} \) — Outer Circle Radius of Annulus (m)
\( A \) — Area of Annulus (m²)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the breadth by subtracting the inner radius (derived from area and outer radius) from the outer radius.

3. Importance of Annulus Calculations

Details: Annulus calculations are crucial in various engineering and architectural applications, particularly in designing ring-shaped structures, piping systems, and mechanical components where precise measurements of annular spaces are required.

4. Using the Calculator

Tips: Enter the outer circle radius in meters and the area of annulus in square 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: Can this formula be used for any size of Annulus?
A: Yes, the formula works for any Annulus size as long as the outer radius is larger than the inner radius and the area is positive.

Q3: What units should I use for input values?
A: The calculator uses meters for radius and square meters for area, but you can use any consistent unit system as long as you maintain unit consistency.

Q4: What if I get a negative result?
A: A negative result indicates invalid input values where the area is larger than what's possible for the given outer radius.

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