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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.

## Summary/Background

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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## Glossary

### calculus

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 center of a circle of radius r by an arc of length r.

### union

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:

SyllabusModuleSectionTopicExam Year
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-
Edexcel A-Level (UK - Pre-2017)C2TrigonometryRadians-