Geometry

Circular Sector Area

Area of a sector with central angle θ (deg).

Formula

Formula
A = ½ r2 θ_rad

Variables

SymbolDefinitionType & rangeUnitsRole
r radius real number (ℝ) input
θ angle in degrees computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenradius r = 5, angle θ (deg) = 90
Result19.63495408
Example 2
Givenradius r = 3, angle θ (deg) = 60
Result4.71238898