Degrees to Turns (° → tr)
Formula
1 ° = 0.002777777777777778 trConversion Table
| ° | tr |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0027778 |
| 2.0000 | 0.0055556 |
| 3.0000 | 0.0083333 |
| 4.0000 | 0.011111 |
| 5.0000 | 0.013889 |
| 6.0000 | 0.016667 |
| 7.0000 | 0.019444 |
| 8.0000 | 0.022222 |
| 9.0000 | 0.025000 |
| 10.000 | 0.027778 |
| 11.000 | 0.030556 |
| 12.000 | 0.033333 |
| 13.000 | 0.036111 |
| 14.000 | 0.038889 |
| 15.000 | 0.041667 |
| 16.000 | 0.044444 |
| 17.000 | 0.047222 |
| 18.000 | 0.050000 |
| 19.000 | 0.052778 |
| ° | tr |
|---|---|
| 20.000 | 0.055556 |
| 21.000 | 0.058333 |
| 22.000 | 0.061111 |
| 23.000 | 0.063889 |
| 24.000 | 0.066667 |
| 25.000 | 0.069444 |
| 26.000 | 0.072222 |
| 27.000 | 0.075000 |
| 28.000 | 0.077778 |
| 29.000 | 0.080556 |
| 30.000 | 0.083333 |
| 31.000 | 0.086111 |
| 32.000 | 0.088889 |
| 33.000 | 0.091667 |
| 34.000 | 0.094444 |
| 35.000 | 0.097222 |
| 36.000 | 0.10000 |
| 37.000 | 0.10278 |
| 38.000 | 0.10556 |
| 39.000 | 0.10833 |
| ° | tr |
|---|---|
| 40.000 | 0.11111 |
| 41.000 | 0.11389 |
| 42.000 | 0.11667 |
| 43.000 | 0.11944 |
| 44.000 | 0.12222 |
| 45.000 | 0.12500 |
| 46.000 | 0.12778 |
| 47.000 | 0.13056 |
| 48.000 | 0.13333 |
| 49.000 | 0.13611 |
| 50.000 | 0.13889 |
| 51.000 | 0.14167 |
| 52.000 | 0.14444 |
| 53.000 | 0.14722 |
| 54.000 | 0.15000 |
| 55.000 | 0.15278 |
| 56.000 | 0.15556 |
| 57.000 | 0.15833 |
| 58.000 | 0.16111 |
| 59.000 | 0.16389 |
| ° | tr |
|---|---|
| 60.000 | 0.16667 |
| 61.000 | 0.16944 |
| 62.000 | 0.17222 |
| 63.000 | 0.17500 |
| 64.000 | 0.17778 |
| 65.000 | 0.18056 |
| 66.000 | 0.18333 |
| 67.000 | 0.18611 |
| 68.000 | 0.18889 |
| 69.000 | 0.19167 |
| 70.000 | 0.19444 |
| 71.000 | 0.19722 |
| 72.000 | 0.20000 |
| 73.000 | 0.20278 |
| 74.000 | 0.20556 |
| 75.000 | 0.20833 |
| 76.000 | 0.21111 |
| 77.000 | 0.21389 |
| 78.000 | 0.21667 |
| 79.000 | 0.21944 |
Degrees to Turns Conversion
Converting Degrees (°) to Turns (tr) is a common angle conversion. 1 ° equals 0.002778 tr. For example, 100 ° is equal to 0.277778 tr.
Quick Mental Math: Degrees to Turns
360 degrees is 1 turn, so scale from that anchor.
Why is converting Degrees to Turns tricky?
degrees 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 ° = 0.002778 tr. 5 ° = 0.013889 tr. 10 ° = 0.027778 tr. 25 ° = 0.069444 tr. 50 ° = 0.138889 tr. 100 ° = 0.277778 tr.
What is Degrees?
Degrees (°) is a unit of angle. A degree is a unit of angular measurement defined as 1/360 of a full rotation or circle. One degree equals exactly π/180 radians, aligning with the International System of Units (SI) conventions for angles. It is commonly used in geometry, navigation, and geospatial coordinates to measure angles and directions [iso-80000]. The degree originated with the ancient Babylonians around 3000 BCE, who divided a circle into 360 parts likely based on their sexagesimal numeral system. This system was formalized over centuries and incorporated into modern angle measurement standards. The consistent division into 360 degrees became globally accepted due to its mathematical convenience and historical use [iso-80000]. Degrees are used worldwide in navigation, astronomy, cartography, and engineering. Countries including the United States, Canada, and members of the European Union employ degrees for geographic coordinates. Scientific organizations such as ISO and BIPM recognize degrees as a standard unit for angles [bipm-si-brochure].
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: degres, degreess, degreees, degre, degr, turnes, tourn, torn, turns. All of these refer to the Degrees to Turns conversion.