Angle Converter

Convert any angle between degrees, radians, gradians, arcminutes, arcseconds, and turns with exact circle math. Enter value once, switch units, see degrees and radians side-views for trig, navigation, and engineering without signup plus turn gradian arcminute coverage and degree-radian side views for trig surveying astronomy navigation robotics and physics workflows daily.

Convert between degrees, radians, gradians, and arcminutes instantly in your browser. Free online angle converter for math, trig, and navigation.

About Angle

Convert any angle between degrees, radians, gradians, arcminutes, arcseconds, and turns with exact circle math. Enter value once, switch units, see degrees and radians side-views for trig, navigation, and engineering without signup plus turn gradian arcminute coverage and degree-radian side views for trig surveying astronomy navigation robotics and physics workflows daily.

Angle units differ by a factor: 360° = 2π radians = 400 gradians = 1 turn, and there are 60 arcminutes per degree and 60 arcseconds per arcminute.

This converter normalises your angle to degrees and converts to the chosen unit, always showing the degree and radian values too. It runs locally in your browser.

Key refs: 180° = π rad, 90° = 100 gon, 1° = 60′, 1′ = 60″, 1 turn = 360°.

Precision: 6 decimals with exponential fallback for huge turns.

Privacy: Fully local. No values leave device.

Limits: Planar angles only. For solid angles, use steradian tools.

Homework conversions: Austin students solving degree programs convert 180-degree cases to pi radians fluently. Denver astronomers splitting $5,000 optic fields read arcminute separations precisely on 09/22/2026.

Survey stakes: Chicago surveyors staking $1M subdivisions work gradians where 100 gon equals right angles. New York engineers speccing $900,000 facades convert slope angles for panel cuts.

Yacht legs: Miami navigators plotting $250,000 charter legs convert bearing degrees to radian autopilot inputs. Seattle roboticists tuning $200,000 arms translate servo turns to degree targets.

Reference anchors: Full turns, half-pi rights, and 60-arcminute degrees cover 95 percent of conversions from memory.

Precision scope: Six decimals serve engineering; arcseconds cover astronomy. Solid angles need steradian tools instead.

Where it is used

Trig homework switching 180° to π rad, surveying with gradians, astronomy arcminute separations, navigation bearings, robotics servo turns, and physics angular velocity conversions Austin students solve $40,000 degree homework, Chicago surveyors stake $1M subdivisions, Miami navigators plot $250,000 yacht legs, Denver astronomers split $5,000 optics, Seattle roboticists tune $200,000 arms, and New York engineers spec $900,000 facades.

How to use the Angle

  1. Value — enter the value.
  2. From — enter the value.
  3. To — enter the value.
  4. Calculate — press the Calculate button to see the result instantly above.

Examples

Half circle

value:180
from:deg
to:rad
Result: π rad (3.141593)

Right angle to gon

value:90
from:deg
to:gon
Result: 100 gon

One turn to deg

value:1
from:turn
to:deg
Result: 360°

Frequently Asked Questions

What is a radian exactly?
The angle subtended by an arc equal in length to the radius. There are exactly 2π radians in a circle, so 180° = π radians.
What are gradians used for?
Gradians (400 per circle) are used mainly in surveying and some European engineering. 100 gradians = 90 degrees.
Arcminutes vs arcseconds?
1° = 60 arcminutes, 1′ = 60 arcseconds. Astronomy uses both for tiny separations.
Turns?
1 turn = 360°. Robotics and encoders count turns for multi-rotation.
Negative angles?
Allowed. -90° = 270° directionally. Tool preserves sign.
Private?
Yes. All math runs locally.
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