What angle units does the calculator support?

Degrees (°), radians (rad), gradians (gon) and turns (full circle). The Angle Conversion Calculator outputs all four units in a single view.

What is 1 radian in degrees?

1 radian ≈ 57.2958°. The exact relationship is 180° = π rad, so 1 rad = 180/π degrees.

Gradians (also called gons) divide a right angle into 100 parts. They are still used in surveying and some European engineering disciplines.

A turn (or revolution) is one full circle. 1 turn = 360° = 2π rad = 400 gon.

No. All conversions are performed locally in your browser.

The Angle Conversion Calculator instantly converts any angle between four common units used in math, engineering, and surveying.

Enter the value — Any positive or negative decimal number.
Pick the source unit — Degrees, radians, gradians, or turns.
Read all four results — The converted value plus the equivalent in every other unit.
Use the table — Reference the side-by-side unit values for reports or homework.

The four units relate through these exact identities:

1 turn = 360° = 2π rad = 400 gon
1° = π / 180 rad = 10/9 gon = 1/360 turn
1 rad = 180/π degrees ≈ 57.2958°
1 gon = 0.9° = π/200 rad

deg = rad × 180/π = gon × 0.9 = turns × 360
rad = deg × π/180 = gon × π/200 = turns × 2π

The Angle Conversion Calculator is helpful for:

Math and physics — Switch between degrees and radians for trig functions and rotational mechanics.
Engineering drawings — Convert design angles between degrees and gradians for CAD or surveying.
Robotics & motors — Translate encoder counts (turns) into degrees or radians.
Astronomy — Convert celestial angle measurements between systems.
Surveying — Gradians remain common in French and Scandinavian land surveying.
Game and graphics — Convert player rotation values stored in turns or radians to degrees.

The Angle Conversion Calculator provides a single source of truth for every angle representation you might need.