Arc Length Calculator

Circular arc mode. The research contract allows zero but not a negative radius.
Used only when the angle in radians is left blank.
y = f(x) for the explicit mode, or r(theta) for the polar mode. Example: (2/3)*x^(3/2)
Parametric mode only.
Parametric mode only.
Arc length
3.141593
Arc Length Calculator
Chord length
2
Sector area
1.570796
Central angle
180 deg
Method
s = r * theta
Worked out from Geometry and proportional relationships (circular arc s = r theta) and 1 other source.

How this is worked out

3 steps
  1. Central angle theta = 3.141592653589793 rad = 180 degrees.
  2. s = r * theta = 1 * 3.141592653589793 = 3.141592653589793.
  3. Chord = 2 r sin(theta/2); sector area = r^2 theta / 2.

Results are general information, not financial, tax, legal, medical or engineering advice.