Trigonometry
Sector Area (angle)
Area of a circular sector by central angle.
Formula
Formula
A = (θ360) π r2
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| r | radius | real number (ℝ) | — | input |
| θ | angle (deg) | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenradius r = 5, angle θ (deg) = 90
Result19.63495408
Example 2
Givenradius r = 3, angle θ (deg) = 120
Result9.424777961