Central Angle of a Sector
POINT
Central angle = 360° × Arc length ÷ (2π × Radius).
Example
Find the central angle of the sector. (Radius = 6 cm, Arc length = 10π cm)
Practice
Find the central angle of the sector.
01
Radius = 4 cm, arc length = 2π cm
Central angle: 90°
02
Radius = 6 cm, arc length = 6π cm
Central angle: 180°
03
Radius = 8 cm, arc length = 4π cm
Central angle: 90°
04
Radius = 10 cm, arc length = 15π cm
Central angle: 270°
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