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How to convert degrees to radians. Use the interactive display. Change the value of the angle in degrees and then this will be converted to radians.


Radians and degrees are two alternative units for measuring angle. There are 360 degrees or 2 \pi radians in a full turn. The radian measure is used at advanced level and beyond in mathematics through out calculus (differentiation and integration).
360 \text{ degrees} = 2\pi \text{ radians}

1 \text{ degree} = \displaystyle \frac{\pi}{180} \text{ radians}

1 \text{ radian} = \displaystyle \frac{180}{\pi} \text{ degrees}

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the study of change; a major branch of mathematics that includes the study of limits, derivatives, rates of change, gradient, integrals, area, summation, and infinite series. Historically, it has been referred to as "the calculus of infinitesimals", or "infinitesimal calculus".
There are widespread applications in science, economics, and engineering.


a measure of angle equal to the size of the angle subtended at the centre of a circle of radius r by an arc of length r.


The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

This question appears in the following syllabi:

AP Calculus AB (USA)1TrigonometryRadians
AP Calculus BC (USA)1TrigonometryRadians
AQA A-Level (UK - Pre-2017)C2TrigonometryRadians
AQA A2 Maths 2017Pure MathsTrigonometry and RadiansRadians
AQA AS/A2 Maths 2017Pure MathsTrigonometry and RadiansRadians
CBSE XI (India)Sets and FunctionsTrigonometric FunctionsRadians
CCEA A-Level (NI)C2TrigonometryRadians
CIE A-Level (UK)P1TrigonometryRadians
E TrigonometryE1 RadiansRadians
Edexcel A-Level (UK - Pre-2017)C2TrigonometryRadians
Edexcel A2 Maths 2017Pure MathsUsing RadiansRadians
Edexcel AS/A2 Maths 2017Pure MathsUsing RadiansRadians
I.B. Higher Level3TrigonometryRadians
I.B. Standard Level3TrigonometryRadians
Methods (UK)M2TrigonometryRadians
OCR A-Level (UK - Pre-2017)C2TrigonometryRadians
OCR A2 Maths 2017Pure MathsRadiansRadians
OCR MEI A2 Maths 2017Pure MathsRadiansRadians
OCR-MEI A-Level (UK - Pre-2017)C2TrigonometryRadians
Pre-Calculus (US)C4TrigonometryRadians
Pre-U A-Level (UK)2TrigonometryRadians
Scottish (Highers + Advanced)HM1TrigonometryRadians
Scottish HighersM1TrigonometryRadians
Universal (all site questions)TTrigonometryRadians
WJEC A-Level (Wales)C2TrigonometryRadians