1. What is Arc Length of Circular Arc?

The Arc Length of a Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle. It represents the distance along the curved line of the arc.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Sector Area — Area enclosed by the sector formed by the Circular Arc and corresponding radii (m²)
• Radius — Radius of the circle from which the Circular Arc is formed (m)

Explanation: This formula provides a direct relationship between the sector area and the arc length for a given radius.

3. Importance of Arc Length Calculation

Details: Calculating arc length is essential in geometry, engineering, and various practical applications involving circular segments, such as architectural design, mechanical engineering, and navigation.

4. Using the Calculator

Tips: Enter the sector area in square meters and the radius in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator accepts sector area in square meters (m²) and radius in meters (m). Ensure consistent units for accurate results.

Q2: Can this formula be used for any circular arc?
A: Yes, this formula applies to any circular arc when you know the sector area and radius of the circle.

Q3: What if I have the central angle instead of sector area?
A: If you have the central angle, you can use the formula: Arc Length = Radius × Central Angle (in radians).

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the provided inputs. The accuracy depends on the precision of your input values.

Q5: Can this calculator handle very large or very small values?
A: Yes, the calculator can handle a wide range of values as long as they are positive numbers greater than zero.