In short
A radian is the angle at the centre of a circle made by an arc whose length equals the radius. A full turn is radians, which is .
The arc length is when is in radians. To convert, , so . Calculus and physics use radians, because the formulas such as are simple only when the angle is in radians. Make sure your calculator is set to the right mode.
. On a circle of radius , this angle cuts off an arc of length .
Pick your exam to see its syllabus, where you stand in each unit and what to practise next.
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