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Angle converter

Degrees, radians and complete turns.

Angle converter

Instant conversion

Edit either value. Decimals and scientific notation supported.

°

rad

CONVERSION

1 ° ≈ 0.01745329252 rad

Precision changes displayed rounding, not calculation accuracy.

FORMULArad = ° × π ÷ 180

UNDERSTAND THE UNITS

Converting angle

Angles describe rotation. One full turn is 360 degrees, 400 gradians or 2π radians. Arcminutes and arcseconds divide a degree into 60 and 3,600 parts.

How the calculation works

Multiply the source value by its base-unit factor, then divide by the destination factor. For example, 1 ° ≈ 0.01745329252 rad.

Precision and rounding

Choose 6, 10 or 15 significant figures for the displayed result. Calculations use unrounded JavaScript numbers. The ≈ symbol indicates that displayed results may be rounded; significant figures are display precision, not measurement accuracy.

Quick reference

Fixed reference · Degree to Radian

This table uses the default pair, independently of your selections above.

Degree (°)Radian (rad)
00
10.01745329252
50.0872664626
100.1745329252
250.436332313
500.872664626
1001.745329252
100017.45329252
Rounded to 10 significant figures.
PAIR DIRECTORY

All angle conversion pairs

From Degree (°)
From Radian (rad)
From Gradian (gon)
From Turn (turn)
From Arcminute (′)
From Arcsecond (″)
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