Arc Length Calculator | Free Online Calculator | CalcDeck

Arc Length Calculator

Calculate the length of an arc using radius and angle measurements

Formula: Arc Length = (π × radius × angle) / 180°

About Arc Length Calculation

An arc length is a portion of the circumference of a circle or curve. The calculation depends on two key components:

  • The radius of the circle
  • The central angle that defines the arc (in degrees)

This calculator uses the formula: L = (πrθ)/180°, where:

  • L = arc length
  • r = radius
  • θ = central angle in degrees
  • Ï€ = pi (approximately 3.14159)

Common Applications

  • Architecture and Construction: Calculating curved surfaces and arches
  • Engineering: Designing gears and circular components
  • Physics: Analyzing circular motion and trajectories
  • Mathematics: Geometry problems and trigonometry