1. What is the Angle of Circular Arc?

The Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed. It is a fundamental measurement in circular geometry.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula calculates the central angle of a circular sector when the sector area and radius are known.

3. Importance of Angle Calculation

Details: Calculating the angle of a circular arc is essential in geometry, engineering, and various applications involving circular measurements and constructions.

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 uses square meters for area and meters for radius. 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.

Q3: What if I have the arc length instead of sector area?
A: If you have the arc length, you can use the formula: Angle = Arc Length / Radius.

Q4: Does the angle result depend on the circle's size?
A: The angle is a dimensionless quantity (radians) and is independent of the circle's actual size when using consistent units.

Q5: Can I convert the result to degrees?
A: Yes, you can convert radians to degrees by multiplying by 180/π (approximately 57.2958).