What you provide
What you provide
- Circle radius expressed in units, using the same scenario as the other inputs
- Central angle expressed in deg, using the same scenario as the other inputs
MATH / PLANE GEOMETRY
Circle Segment Area Calculator
Calculate the minor-or-major circular segment area from radius and central angle. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate the minor-or-major circular segment area from radius and central angle. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
A=(r^2/2)(theta_rad-sin theta)
What you receive
What you receive
- Segment area in square units from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The central angle spans zero to 360 degrees and selects the corresponding segment.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors