Arc Length Calculator
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Understanding Arc Length
What is Arc Length?
Arc length is the distance along a curved line segment of a circle. It's determined by both the radius of the circle and the central angle that subtends the arc.
- Arc length is a portion of the circle's circumference
- Central angle is measured in degrees or radians
- The formula uses the radius and central angle
- Full circle arc length equals the circumference
Arc Length Formula
Using Degrees:
Arc Length = (πr × θ) / 180°
where r is radius and θ is angle in degrees
Using Radians:
Arc Length = r × θ
where r is radius and θ is angle in radians
Applications
Engineering
- Gear design
- Curved path measurements
- Architectural design
Real World
- Road curve design
- Circular track lengths
- Satellite orbits