1. What is Central Angle of Annulus Sector?

The Central Angle of Annulus Sector is the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{Inner Arc(Sector)} \) — Inner Arc Length of Annulus Sector (m)
• \( r_{Outer} \) — Outer Circle Radius of Annulus (m)
• \( b \) — Breadth of Annulus (m)

Explanation: The formula calculates the central angle by dividing the inner arc length by the difference between the outer radius and the breadth of the annulus.

3. Importance of Central Angle Calculation

Details: Calculating the central angle of an annulus sector is important in geometry and engineering applications where precise angular measurements are required for circular segments and annular sections.

4. Using the Calculator

Tips: Enter inner arc length in meters, outer radius in meters, and breadth in meters. All values must be positive, and the outer radius must be greater than the breadth.

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use for the inputs?
A: The calculator uses meters for all measurements, but you can use any consistent unit as long as all inputs are in the same unit.

Q3: Can the central angle be greater than 2π radians?
A: Yes, the central angle can be any positive value, though typically in geometric contexts it's between 0 and 2π radians.

Q4: What if the outer radius is not greater than the breadth?
A: The formula requires that the outer radius be greater than the breadth. If not, the annulus wouldn't exist mathematically.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the provided formula and inputs.