Angular measure of an arc

The plane angle subtended at the centre of a circle equals the arc length divided by the radius, giving the angle in radians. It is used whenever an angle is measured from an arc of a circle.

\theta = \frac{s}{r}

What the symbols mean

plane angle in radians (rad)
arc length along the circle (same length unit as r)
radius of the circle (same length unit as s)

About this formula

  • FieldMathematics
  • TopicTrigonometry and angles
  • LevelHigh school
  • Also calledangle in radians, arc length divided by radius, radian measure, plane angle, angular measure, angle from arc length
  • SourceWikidata Q1357788

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