ToolHuts

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.

Converted value3.141592654rad
Degrees, minutes and seconds180° 0′ 0″

180 ° × 0.01745329252 = 3.141592654 rad

Equivalent measurements

UnitValue
°180
rad3.141592654
turn0.5
gon200

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.

Reference: NIST SI conversion factors

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.