How do I convert degrees to radians?

Multiply degrees by π and divide by 180 to convert degrees to radians.

How do I convert radians to degrees?

Multiply radians by 180 and divide by π to convert radians to degrees.

How many degrees are in one revolution?

One full revolution equals 360 degrees, or 2π radians.

Angle Converter – Degrees, Radians and Revolutions

Use this angle converter to convert degrees, radians and revolutions in any direction including degrees to radians, radians to degrees, revolutions to degrees and full turns.

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ANGLE CONVERTER

Convert degrees, radians and revolutions.

VALUE

FROM

RESULT

—

Degrees to radians • radians to degrees • revolutions to degrees.

NEXT shows presets, formulas, help and related pages.

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QUICK PRESETS

Tap a common angle conversion.

30 DEG → RAD001 45 DEG → RAD002 90 DEG → RAD003 180 DEG → RAD004 360 DEG → REV005 1 REV → DEG006 PI RAD → DEG007 2PI RAD → REV008

UNITS

degrees • radians • revolutions

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WHAT THIS TOOL IS FOR

A simple DEG, RAD and REV converter.

PAGE 233 PURPOSE

Use this angle converter to convert degrees, radians and revolutions for geometry, trigonometry, technical drawing and rotation.

WHO USES IT

Useful for students, teachers, engineers, designers, machinists, programmers, makers, survey-style checks and full-turn calculations.

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KEY FORMULAS

Degrees, radians and turns.

DEG→RAD

rad = deg × π ÷ 180

RAD→DEG

deg = rad × 180 ÷ π

REV→DEG

deg = rev × 360

REV→RAD

rad = rev × 2π

COMMON VALUES

90° = π/2 rad, 180° = π rad, 360° = 2π rad = 1 rev.

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DEG • RAD • REV GUIDE

When each angle unit is useful.

DEGREES

Degrees are common in everyday angles, geometry, drawing, bearings, rotation marks and design notes.

RADIANS

Radians are common in trigonometry, calculus, programming, circular motion and many technical formulas.

REVOLUTIONS

Revolutions describe full turns. One revolution is 360 degrees or 2π radians.

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COMMON SEARCHES

Search-intent examples covered here.

degrees to radians converter

radians to degrees converter

revolutions to degrees

pi radians in degrees

USE CASES

Geometry homework, trig examples, CNC or machining angles, rotation systems, clock positions, circular layouts and programming angle values.

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RELATED TOOLS

Parent hub, sibling converters and nearby tools.

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SUMMARY + RETURN

Angle converter page 233: degrees, radians and revolutions.

KEYWORDS COVERED

degrees to radians, radians to degrees, revolutions to degrees, angle converter.

LOOP

NEXT>>> RETURNS TO PAGE 1

Angle converter for degrees radians and revolutions