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Outer Arc Length of Annulus Sector Calculator

Outer Arc Length of Annulus Sector Formula:

\[ \text{Outer Arc Length of Annulus Sector} = \text{Outer Circle Radius of Annulus} \times \text{Central Angle of Annulus Sector} \]

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1. What is the Outer Arc Length of Annulus Sector?

The Outer Arc Length of Annulus Sector is the distance between the two points along the outer curve of an annulus sector. An annulus is the region between two concentric circles, and a sector is a portion of it defined by a central angle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Outer Arc Length of Annulus Sector} = \text{Outer Circle Radius of Annulus} \times \text{Central Angle of Annulus Sector} \]

Where:

Explanation: The formula calculates the length of the arc on the outer circle corresponding to the given central angle.

3. Importance of Outer Arc Length Calculation

Details: Calculating the outer arc length is important in geometry, engineering, and design where annular sectors are used. It helps in determining the perimeter and other properties of annular shapes.

4. Using the Calculator

Tips: Enter the outer circle radius in meters and the central angle in radians. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is the region between two concentric circles, resembling a ring or a washer.

Q2: How is the central angle measured?
A: The central angle is measured in radians, with 2π radians equal to 360 degrees.

Q3: Can I use degrees instead of radians?
A: The formula requires radians. Convert degrees to radians by multiplying by π/180.

Q4: What if the central angle is greater than 2π?
A: The formula still applies, but the result may represent more than one full circle.

Q5: Are there any limitations to this formula?
A: The formula assumes perfect circles and a well-defined central angle. It may not apply to irregular shapes.

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