Central Angle Calculator

Your details

Mode 1: find the central angle. Mode 2: find the arc length. Mode 3: use the Central Angle Theorem to convert an inscribed angle to the central angle subtending the same arc.
The length of the arc (portion of the circle circumference).
m
The radius of the circle.
m
Central angle
28.6479°

The angle at the centre of the circle, in degrees

Central angle (rad)0.5rad
Arc length5
Chord length4.9481
Sector area25
Percent of circle0.08%
28.6479 °
Acute / right<90Obtuse / straight90-180Reflex180-270Full circle270+

Central angle: 28.6479° (0.5000 rad)

  • The central angle is 28.6479° or 0.500000 rad.
  • This angle spans 7.96% of the full circle (360°).
  • Chord length (straight line between arc endpoints): 4.9481 m.
  • Sector area: 25.0000 m².

Next stepThe central angle theorem states that any inscribed angle is exactly half the central angle subtending the same arc.

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