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circular measure

circular measure

8.6
A way to measure angles using radians, where one full circle equals two pi radians
  • noun
  • Specialized
translation icon : medida circular
  • The circular measure of a full angle is 2π radians.

Examples

  • The formula for arc length uses the circular measure of the angle.

  • In mathematics, angles are often given in circular measure rather than degrees.

  • Scientists prefer circular measure when working with trigonometric functions.

  • How do you calculate the circular measure of an angle?

  • In mathematics, angles are often given in circular measure rather than degrees.

  • The formula for arc length uses the circular measure of the angle.

  • Scientists prefer circular measure when working with trigonometric functions.

Surface Forms

Morphology

circular + measure

The compound clearly indicates a measurement related to circles — a B1 learner who knows 'circular' (round) and 'measure' (a measurement) can infer it concerns measuring circular properties (e.g., angles or arc). However, the specific technical convention (that it means expressing angles in radians and that a full revolution equals 2π) is domain-specific and not directly predictable from the words alone, so the expression is only partially transparent.

Etymology

Circular measure may come from a simple image: the words circular and measure mean you measure an angle by the part of a circle it takes, like how much of the circle's edge is used. That's why 'circular measure' now means measuring angles in 'radians', where one full turn around the circle equals '2π'.