Practical tools for measured work
Angle converter
Convert degrees, radians, turns and gradians, with signed DMS input and output.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
180 ° × 0.01745329252 = 3.141592654 rad
Equivalent measurements
| Unit | Value |
|---|---|
| ° | 180 |
| rad | 3.141592654 |
| turn | 0.5 |
| gon | 200 |
How it works
Enter a value, choose its current unit and select the target unit. The table shows equivalent values within the same physical quantity. Signed values are supported; conversion does not change the meaning of a negative measurement.
180° = π rad; 30° 30′ 0″ = 30.5°
DMS input uses a separate sign, nonnegative whole degrees, whole minutes below 60 and seconds below 60. DMS output is rounded to six decimal places in seconds and is available within one million degrees in either direction.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Angle input
- Decimal units
- Value
- 180
- From unit
- °
- To unit
- rad
Primary result: Converted value: 3.141592654 rad.
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
Results use floating-point arithmetic and are displayed to ten significant digits. This tool does not measure an object, infer missing dimensions or supply material density. Keep unrounded values for further calculations when precision matters.
Frequently asked questions
Why are some units missing from the list?
Only units of the same physical quantity can be selected together. Choose another converter for a different quantity; a length cannot become an area without another dimension.
Related tools
Length converter
Convert length units including millimetres, inches, feet and miles.
Area converter
Convert square units, hectares and acres using squared length factors.
Volume converter
Convert litres, cubic units and explicitly labelled US or UK gallons.
Mass converter
Convert metric mass, pounds, ounces and stones with defined unit factors.
