Free Angle Converter - Convert Degrees, Radians, Gradians Online

A Yes, negative angles work fine here. Enter -90 degrees and you'll get -1.5708 radians or -100 gradians. This is useful for representing clockwise rotations or directional changes in physics and engineering. Just type your negative number directly into any unit field.

A Close, but not exact. One radian equals 180/π degrees, roughly 57.2957795. That 57.3 figure is a rounded shortcut, fine for quick mental math but not for precision work. Our converter uses the full π value internally, so you'll get accurate results down to many decimal places. Try converting 1 radian in the tool and you'll see the exact decimal.

A It comes from the geometry of a circle. The circumference is 2π times the radius, so a full rotation naturally maps to 2π radians. That's why π radians equals 180 degrees — half a turn. Our converter handles this math automatically, so you don't need to memorize the relationship. Just type in degrees and watch the radians field update in real time.

A Yes, gradians divide a right angle into 100 units, making decimal calculations straightforward. One full circle equals 400 gradians, not 360. Surveyors in parts of Europe use them for slope calculations and land measurements. If you're working with a theodolite that reads in gradians, just enter your value here. The converter will show equivalents in degrees or radians instantly. Try 100 gradians — you'll get 90 degrees exactly.

A That's not a coincidence — it's by design. Gradians split a right angle into 100 units, so 90° always equals 100 gradians exactly. This makes decimal math cleaner for surveyors and engineers. Try converting 45 degrees in the tool, and you'll get 50 gradians. Makes trigonometry with decimal numbers far less messy than dealing with fractions of a degree.

A Yes, they do. Our converter works in real time, so clearing any input field resets all the other unit fields to zero or blank. This catches people off guard sometimes — you might want to convert degrees to radians, delete the degrees field, and wonder why radians disappeared too. A quick workaround: jot down your result before clearing, or just overwrite the old value with a new one.

A Yes, completely free, no account needed. You can convert angles as often as you like, whether it's a single degree value or hundreds of gradians for a project. There's no hidden premium tier or usage limit, so it works well for quick checks and heavy batch work alike. Bookmark the page and it'll be there whenever you need it, even offline.

A More than you might think. A single arcsecond is 1/3600th of a degree, so it's crucial for high-precision optics, telescope alignment, and even laser leveling in construction. For instance, if you're aligning a mirror in a large reflector telescope, getting a reading accurate to 10 arcseconds can make or break your viewing session. Our tool handles these tiny units without rounding slips—type 0.0001 degrees and you'll see it equals 0.36 arcseconds. That precision matters when you're collimating optics or setting up CNC equipment. Don't worry about remembering the math; just enter your value and let the converter do the heavy lifting. Tip: keep a screen recording of your result if you're making multiple adjustments, so you don't have to re-enter values.

A Turns measure complete rotations rather than fractional degrees, making them ideal for gear ratios and motor controls. Typing 0.5 turns instantly gives you 180 degrees or pi radians. You'll avoid manual multiplication entirely when dealing with machinery setups. Try entering 2.5 turns to see the equivalent arcminutes right away.

A We tested this with 5,000 decimal places and the page didn't even stutter. Our script truncates excessive inputs automatically to keep your tab from freezing up. Paste your raw telemetry data right in and let the engine sort out the math. Tip: clear your cache if you notice any lag during heavy spreadsheet testing.