MathsNet: T - Trigonometry - Degrees to radians

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Page ID: 283

T | Trigonometry | Radians | «Degrees to radians»

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.

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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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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AP Calculus AB (USA)	1	Trigonometry	Radians	-
AP Calculus BC (USA)	1	Trigonometry	Radians	-
AQA A-Level (UK - Pre-2017)	C2	Trigonometry	Radians	-
AQA A2 Maths 2017	Pure Maths	Trigonometry and Radians	Radians	-
AQA AS/A2 Maths 2017	Pure Maths	Trigonometry and Radians	Radians	-
CBSE XI (India)	Sets and Functions	Trigonometric Functions	Radians	-
CCEA A-Level (NI)	C2	Trigonometry	Radians	-
CIE A-Level (UK)	P1	Trigonometry	Radians	-
Edexcel A-Level (UK - Pre-2017)	C2	Trigonometry	Radians	-
Edexcel A2 Maths 2017	Pure Maths	Using Radians	Radians	-
Edexcel AS/A2 Maths 2017	Pure Maths	Using Radians	Radians	-
I.B. Higher Level	3	Trigonometry	Radians	-
I.B. Standard Level	3	Trigonometry	Radians	-
Methods (UK)	M2	Trigonometry	Radians	-
OCR A-Level (UK - Pre-2017)	C2	Trigonometry	Radians	-
OCR A2 Maths 2017	Pure Maths	Radians	Radians	-
OCR MEI A2 Maths 2017	Pure Maths	Radians	Radians	-
OCR-MEI A-Level (UK - Pre-2017)	C2	Trigonometry	Radians	-
Pre-Calculus (US)	C4	Trigonometry	Radians	-
Pre-U A-Level (UK)	2	Trigonometry	Radians	-
Scottish (Highers + Advanced)	HM1	Trigonometry	Radians	-
Scottish Highers	M1	Trigonometry	Radians	-
Universal (all site questions)	T	Trigonometry	Radians	-
WJEC A-Level (Wales)	C2	Trigonometry	Radians	-