5.3 Radians

AQA Edexcel OCR A OCR B (MEI)
Radian measure

Radians are another way of measuring angles. 1 radian is the angle produced when the arc is the same length as the radius of a circle, and is approximately \(57.3\degree\).

Therefore a full circle (i.e. \(360\degree\)) is \(2π\) radians. Radians are usually expressed in terms of \(π\).



Conversion

\(degrees \xrightleftharpoons[\qquad×\dfrac{180}{π}\qquad]{\qquad×\dfrac{π}{180}\qquad} radians\)
Important
Conversion between degrees and radians

\(degrees \xrightleftharpoons[\qquad×\dfrac{180}{π}\qquad]{\qquad×\dfrac{π}{180}\qquad} radians\)
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