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How To Convert Angle Units Calculator

Angle is measured in several units that all describe the same rotation. A converter moves between them through a single base unit, the degree, so every pair converts exactly.

Converted value

0.01745329252

Value in degrees
1

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

The formula this calculator uses

Result = value x from-factor / to-factor

value
Amount you start with
from
Size of the source unit in degrees
to
Size of the target unit in degrees

How to check the result by hand

  1. 1

    Enter the amount

    Type the number you want to convert.

  2. 2

    Pick the source unit

    Choose the unit the number is currently in, such as degrees.

  3. 3

    Pick the target unit

    Choose the unit you want the answer in, such as radians.

  4. 4

    Multiply by the source factor

    The value is expressed in degrees using the source unit's size in degrees.

  5. 5

    Divide by the target factor

    Converting from the base degree into the target unit gives the final answer.

For worked examples, common mistakes and the limits of this formula, read the full How To Convert Angle Units page.