A-Level Maths Edexcel 9MA0

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#3 Use radian measure

[b]uRadian measure[/u]/b

bRadians/b 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).

mtaimg/images/topics/5/5-44-3.gif/mtaimg

[b]uConversion[/u]/b

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

[b]uConversion between degrees and radians[/u]/b

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