Home Back

Outer Arc Length of Annulus Sector Given Inner Circle Radius and Breadth of Annulus Calculator

Formula Used:

\[ \text{Outer Arc Length of Annulus Sector} = (\text{Inner Circle Radius of Annulus} + \text{Breadth of Annulus}) \times \text{Central Angle of Annulus Sector} \]

m
m
rad

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is 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 Annulus. It represents the length of the arc on the outer circle that is bounded by the central angle of the annulus sector.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Outer Arc Length} = (\text{Inner Radius} + \text{Breadth}) \times \text{Central Angle} \]

Where:

Explanation: The outer radius is calculated by adding the inner radius and the breadth of the annulus. The arc length is then determined by multiplying this outer radius by the central angle in radians.

3. Importance of Outer Arc Length Calculation

Details: Calculating the outer arc length of an annulus sector is important in various engineering and geometric applications, particularly in mechanical design, architecture, and manufacturing where annular shapes are commonly used.

4. Using the Calculator

Tips: Enter the inner radius and breadth in meters, and the central angle in radians. All values must be positive numbers. The calculator will compute the outer arc length of the annulus sector.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object, the region between two concentric circles.

Q2: Why is the central angle measured in radians?
A: Radians are used because they provide a direct relationship between arc length and radius (arc length = radius × angle in radians).

Q3: Can I use degrees instead of radians?
A: The calculator requires radians. To convert degrees to radians, multiply by π/180.

Q4: What if the breadth is zero?
A: If breadth is zero, the annulus becomes a circle, and the formula reduces to arc length = radius × angle.

Q5: Are there any limitations to this formula?
A: This formula assumes perfect circular geometry and works for all valid positive values of inner radius, breadth, and central angle.

Outer Arc Length of Annulus Sector Given Inner Circle Radius and Breadth of Annulus Calculator© - All Rights Reserved 2025