1. What is Perimeter of Annulus Sector?

The Perimeter of Annulus Sector is the total distance around the edge of the Annulus Sector. An annulus sector is a portion of an annulus (the region between two concentric circles) bounded by two radii and the corresponding arcs.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_{\text{Outer}} \) — Outer Circle Radius of Annulus (m)
• \( b \) — Breadth of Annulus (m)
• \( \theta \) — Central Angle of Annulus Sector (radians)

Explanation: The formula calculates the perimeter by considering the lengths of the two arcs and the two straight sides of the annulus sector.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of an annulus sector is important in various engineering and architectural applications, particularly in designing circular components, calculating material requirements, and in geometric analysis of annular shapes.

4. Using the Calculator

Tips: Enter the outer circle radius and breadth of annulus in meters, and the central angle in radians. All 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 washer shape.

Q2: How is the central angle measured?
A: The central angle is measured in radians, where 2π radians equals 360 degrees.

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

Q4: What if the inner radius is known instead of breadth?
A: Breadth of annulus = Outer radius - Inner radius. You can calculate breadth first if you know both radii.

Q5: Are there any limitations to this formula?
A: This formula assumes perfect circular geometry and is valid for all positive values where outer radius > breadth.