Gradians to Turns (gon → tr)
Formula
1 gon = 0.0025 trConversion Table
| gon | tr |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0025000 |
| 2.0000 | 0.0050000 |
| 3.0000 | 0.0075000 |
| 4.0000 | 0.010000 |
| 5.0000 | 0.012500 |
| 6.0000 | 0.015000 |
| 7.0000 | 0.017500 |
| 8.0000 | 0.020000 |
| 9.0000 | 0.022500 |
| 10.000 | 0.025000 |
| 11.000 | 0.027500 |
| 12.000 | 0.030000 |
| 13.000 | 0.032500 |
| 14.000 | 0.035000 |
| 15.000 | 0.037500 |
| 16.000 | 0.040000 |
| 17.000 | 0.042500 |
| 18.000 | 0.045000 |
| 19.000 | 0.047500 |
| gon | tr |
|---|---|
| 20.000 | 0.050000 |
| 21.000 | 0.052500 |
| 22.000 | 0.055000 |
| 23.000 | 0.057500 |
| 24.000 | 0.060000 |
| 25.000 | 0.062500 |
| 26.000 | 0.065000 |
| 27.000 | 0.067500 |
| 28.000 | 0.070000 |
| 29.000 | 0.072500 |
| 30.000 | 0.075000 |
| 31.000 | 0.077500 |
| 32.000 | 0.080000 |
| 33.000 | 0.082500 |
| 34.000 | 0.085000 |
| 35.000 | 0.087500 |
| 36.000 | 0.090000 |
| 37.000 | 0.092500 |
| 38.000 | 0.095000 |
| 39.000 | 0.097500 |
| gon | tr |
|---|---|
| 40.000 | 0.10000 |
| 41.000 | 0.10250 |
| 42.000 | 0.10500 |
| 43.000 | 0.10750 |
| 44.000 | 0.11000 |
| 45.000 | 0.11250 |
| 46.000 | 0.11500 |
| 47.000 | 0.11750 |
| 48.000 | 0.12000 |
| 49.000 | 0.12250 |
| 50.000 | 0.12500 |
| 51.000 | 0.12750 |
| 52.000 | 0.13000 |
| 53.000 | 0.13250 |
| 54.000 | 0.13500 |
| 55.000 | 0.13750 |
| 56.000 | 0.14000 |
| 57.000 | 0.14250 |
| 58.000 | 0.14500 |
| 59.000 | 0.14750 |
| gon | tr |
|---|---|
| 60.000 | 0.15000 |
| 61.000 | 0.15250 |
| 62.000 | 0.15500 |
| 63.000 | 0.15750 |
| 64.000 | 0.16000 |
| 65.000 | 0.16250 |
| 66.000 | 0.16500 |
| 67.000 | 0.16750 |
| 68.000 | 0.17000 |
| 69.000 | 0.17250 |
| 70.000 | 0.17500 |
| 71.000 | 0.17750 |
| 72.000 | 0.18000 |
| 73.000 | 0.18250 |
| 74.000 | 0.18500 |
| 75.000 | 0.18750 |
| 76.000 | 0.19000 |
| 77.000 | 0.19250 |
| 78.000 | 0.19500 |
| 79.000 | 0.19750 |
Gradians to Turns Conversion
Converting Gradians (gon) to Turns (tr) is a common angle conversion. 1 gon equals 0.0025 tr. For example, 100 gon is equal to 0.25 tr.
Quick Mental Math: Gradians to Turns
400 gradians is 1 turn, so scale from that anchor.
Why is converting Gradians to Turns tricky?
gradians and turns split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 gon = 0.0025 tr. 5 gon = 0.0125 tr. 10 gon = 0.025 tr. 25 gon = 0.0625 tr. 50 gon = 0.125 tr. 100 gon = 0.25 tr.
What is Gradians?
Gradians (gon) is a unit of angle. A gradian, also called a gon, is an angular unit where one full circle equals 400 gradians. Each gradian equals 0.9 degrees or π/200 radians. This unit facilitates decimal subdivision of right angles and is defined by international standards for angular measurement [bipm-si-brochure]. Gradians were introduced in the late 18th century during the French Revolution to simplify angle calculations using a decimal system. The unit was later adopted by the ISO and BIPM as part of supplementary units to the SI [bipm-si-brochure]. Gradians are used in surveying, geodesy, and cartography, particularly in Europe, including France and Germany. They provide a convenient decimal-based alternative to degrees for precise angular measurements [nist-si-guide].
What is Turns?
Turns (tr) is a unit of angle. A turn represents one complete rotation or revolution around a circle, equivalent to 360 degrees or 2π radians. It defines an angle of exactly 1 turn = 2π radians, or about 6.28318 radians, aligning with ISO 80000 standards. This unit is used in fields requiring angular measurement, such as engineering and physics [iso-80000]. The concept of a turn as a full circle has existed since ancient mathematics, but formal standardization as a unit of angle was recognized in the 20th century through ISO standards to unify angular measurement [iso-80000]. Turns are used internationally in engineering, robotics, and navigation for expressing rotational movement. It is recognized by ISO and adopted in scientific contexts worldwide [iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: gradian, graden, gradian, turnes, tourn, torn, turns. All of these refer to the Gradians to Turns conversion.