Trigonometry

Sector Area (angle)

Area of a circular sector by central angle.

Formula

Formula
A = (θ360) π r2

Variables

SymbolDefinitionType & rangeUnitsRole
r radius real number (ℝ) — input
θ angle (deg) computed result — result

Try it yourself

Interactive calculator
Result
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Worked examples

Example 1
Givenradius r = 5, angle θ (deg) = 90
Result19.63495408
Example 2
Givenradius r = 3, angle θ (deg) = 120
Result9.424777961