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Radius Of Outer Circle Of Annulus Given Inner Circle Radius And Perimeter Calculator

Formula Used:

\[ r_{Outer} = \frac{P}{2\pi} - r_{Inner} \]

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1. What is the Outer Circle Radius of Annulus?

The Outer Circle Radius of Annulus is the radius of the larger circle in a pair of concentric circles that form an annulus. It represents the distance from the center to the outer boundary of the annular shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{Outer} = \frac{P}{2\pi} - r_{Inner} \]

Where:

Explanation: The formula derives from the relationship between the perimeter of an annulus and its inner and outer radii, using the mathematical constant pi.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is essential in various engineering and geometric applications, particularly in designing circular components, calculating areas, and understanding annular shapes in mechanical and civil engineering.

4. Using the Calculator

Tips: Enter the perimeter of the annulus and the inner circle radius in meters. Both values must be positive numbers, with the inner radius being less than half the perimeter divided by pi.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object formed by two concentric circles, resembling a flat circular ring.

Q2: Can the inner radius be zero?
A: No, if the inner radius is zero, the shape becomes a solid disk rather than an annulus.

Q3: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of length as long as both inputs use the same unit.

Q4: What if I get a negative result?
A: A negative result indicates invalid input values where the inner radius is larger than what the perimeter can accommodate for an annulus.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and using the exact value of pi in calculations.

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