Arc Length Calculator

Calculate the arc length of a circular segment, along with related properties like sector area, chord length, and segment area. This tool is essential for geometry, engineering, and design applications.

Key Concepts

• Arc length is the distance along the curved line of the circle between two points
• The sector is the 'pie slice' region bounded by two radii and the arc
• The chord is the straight line connecting the two endpoints of the arc
• The segment is the region between the chord and the arc

Common Applications

• Architecture and construction (calculating curved surfaces, arches)
• Mechanical engineering (gears, pulleys, rotational systems)
• Road design (calculating curve lengths and radii)
• Manufacturing (cutting curved materials, calculating material usage)

Tips

• For a full circle (360° or 2π radians), arc length equals circumference (2πr)
• Always convert degrees to radians when using the formulas: 1° = π/180 radians
• The visualization shows the sector (shaded), arc (thick line), and chord (dashed line)