How this calculation works
Calculate the area bounded by a chord and a chosen circular arc.
THE FORMULA
A=r²(θ−sin θ)/2 using radiansA worked example
Radius 2 and angle 90° give sector area π less triangle area 2.
Good to know
Angles above 180° select the major segment.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Calculate the area bounded by a chord and a chosen circular arc.
The primary result is labeled “Segment area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Angles above 180° select the major segment.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Radius 2 and angle 90° give sector area π less triangle area 2.
Which rule does this calculator apply?
A=r²(θ−sin θ)/2 using radians