What Is the Arc Length Formula?

[messylean]

Hey! How do you calculate the length of an arc in a circle? Please include the formula and explain the terms.

 

[david]

The arc length formula calculates the distance along a curved line, such as part of a circle's circumference. It is given by L = rθ, where L is the arc length, r is the radius, and θ is the central angle in radians. For degrees, convert to radians first.

Example: For a radius of 5 units and angle of 2 radians, L = 5 × 2 = 10 units.

 

[nikhilrajoria]

Arc length = Length of a radius angle (theta) = length of a radius (r)

 

[Salvatore_Damon]

The arc length formula is basically L = 2πr × (θ/360) if your angle is in degrees, or just L = r × θ if it’s in radians — pretty simple once you remember which one you’re using.