Radians to Octants (rad → oct)
Formula
1 rad = 1.2732395447351628 octConversion Table
| rad | oct |
|---|---|
| 0 | 0 |
| 1.0000 | 1.2732 |
| 2.0000 | 2.5465 |
| 3.0000 | 3.8197 |
| 4.0000 | 5.0930 |
| 5.0000 | 6.3662 |
| 6.0000 | 7.6394 |
| 7.0000 | 8.9127 |
| 8.0000 | 10.186 |
| 9.0000 | 11.459 |
| 10.000 | 12.732 |
| 11.000 | 14.006 |
| 12.000 | 15.279 |
| 13.000 | 16.552 |
| 14.000 | 17.825 |
| 15.000 | 19.099 |
| 16.000 | 20.372 |
| 17.000 | 21.645 |
| 18.000 | 22.918 |
| 19.000 | 24.192 |
| rad | oct |
|---|---|
| 20.000 | 25.465 |
| 21.000 | 26.738 |
| 22.000 | 28.011 |
| 23.000 | 29.285 |
| 24.000 | 30.558 |
| 25.000 | 31.831 |
| 26.000 | 33.104 |
| 27.000 | 34.377 |
| 28.000 | 35.651 |
| 29.000 | 36.924 |
| 30.000 | 38.197 |
| 31.000 | 39.470 |
| 32.000 | 40.744 |
| 33.000 | 42.017 |
| 34.000 | 43.290 |
| 35.000 | 44.563 |
| 36.000 | 45.837 |
| 37.000 | 47.110 |
| 38.000 | 48.383 |
| 39.000 | 49.656 |
| rad | oct |
|---|---|
| 40.000 | 50.930 |
| 41.000 | 52.203 |
| 42.000 | 53.476 |
| 43.000 | 54.749 |
| 44.000 | 56.023 |
| 45.000 | 57.296 |
| 46.000 | 58.569 |
| 47.000 | 59.842 |
| 48.000 | 61.115 |
| 49.000 | 62.389 |
| 50.000 | 63.662 |
| 51.000 | 64.935 |
| 52.000 | 66.208 |
| 53.000 | 67.482 |
| 54.000 | 68.755 |
| 55.000 | 70.028 |
| 56.000 | 71.301 |
| 57.000 | 72.575 |
| 58.000 | 73.848 |
| 59.000 | 75.121 |
| rad | oct |
|---|---|
| 60.000 | 76.394 |
| 61.000 | 77.668 |
| 62.000 | 78.941 |
| 63.000 | 80.214 |
| 64.000 | 81.487 |
| 65.000 | 82.761 |
| 66.000 | 84.034 |
| 67.000 | 85.307 |
| 68.000 | 86.580 |
| 69.000 | 87.854 |
| 70.000 | 89.127 |
| 71.000 | 90.400 |
| 72.000 | 91.673 |
| 73.000 | 92.946 |
| 74.000 | 94.220 |
| 75.000 | 95.493 |
| 76.000 | 96.766 |
| 77.000 | 98.039 |
| 78.000 | 99.313 |
| 79.000 | 100.59 |
Radians to Octants Conversion
Converting Radians (rad) to Octants (oct) is a common angle conversion. 1 rad equals 1.27324 oct. For example, 100 rad is equal to 127.323954 oct.
Quick Mental Math: Radians to Octants
0.7854 radians is about 1 octant, so use that as a quick check.
Why is converting Radians to Octants tricky?
radians to octants hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 rad = 1.27324 oct. 5 rad = 6.366198 oct. 10 rad = 12.732395 oct. 25 rad = 31.830989 oct. 50 rad = 63.661977 oct. 100 rad = 127.323954 oct.
What is Radians?
Radians (rad) is a unit of angle. A radian is the SI unit of plane angle defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One radian equals approximately 57.2958 degrees or exactly 1 rad = radius/arc length ratio. It is a dimensionless unit used extensively in mathematics, physics, and engineering [bipm-si-brochure]. The radian concept was formalized in the 19th century, with mathematicians like Roger Cotes contributing to its development. The radian was adopted as the standard angular unit in the SI system to provide a natural measure of angles based on circle geometry [bipm-si-brochure]. Radians are the standard unit of angular measurement in science, engineering, and technology worldwide. They are used in trigonometry, rotational dynamics, and signal processing, with formal adoption by the BIPM and ISO 80000 standards [bipm-si-brochure, iso-80000].
What is Octants?
Octants (oct) is a unit of angle. An octant is a unit of angular measurement equal to 45 degrees or one-eighth of a full circle (360 degrees). It is used in historical and navigational contexts to describe angular divisions. One octant corresponds to π/4 radians according to angular standards [iso-80000]. The octant dates to early navigation instruments developed in the 18th century, notably the reflecting octant invented by John Hadley in 1731. It was adopted to improve celestial navigation accuracy before the sextant became widespread [iso-80000]. While largely replaced by degrees and radians, octants remain referenced in historical navigation and maritime heritage. Some naval training and museums preserve knowledge of octants as part of seafaring traditions [nist-sp-811].
Common Misspellings
People often search for this conversion using these alternate spellings: radianes, radias, radans, radiens, octent, octent angle, octons, octancts. All of these refer to the Radians to Octants conversion.