How to convert 1.5 radians to gradians?
Gradians = 1.5 × 200/π ≈ 1.5 × 63.662 = 95.49 gradians.
Radians to Gradians (rad → gon)
Formula
1 rad = 63.66197723675813 gonConversion Table
| rad | gon |
|---|---|
| 0 | 0 |
| 1.0000 | 63.662 |
| 2.0000 | 127.32 |
| 3.0000 | 190.99 |
| 4.0000 | 254.65 |
| 5.0000 | 318.31 |
| 6.0000 | 381.97 |
| 7.0000 | 445.63 |
| 8.0000 | 509.30 |
| 9.0000 | 572.96 |
| 10.000 | 636.62 |
| 11.000 | 700.28 |
| 12.000 | 763.94 |
| 13.000 | 827.61 |
| 14.000 | 891.27 |
| 15.000 | 954.93 |
| 16.000 | 1,018.6 |
| 17.000 | 1,082.3 |
| 18.000 | 1,145.9 |
| 19.000 | 1,209.6 |
| rad | gon |
|---|---|
| 20.000 | 1,273.2 |
| 21.000 | 1,336.9 |
| 22.000 | 1,400.6 |
| 23.000 | 1,464.2 |
| 24.000 | 1,527.9 |
| 25.000 | 1,591.5 |
| 26.000 | 1,655.2 |
| 27.000 | 1,718.9 |
| 28.000 | 1,782.5 |
| 29.000 | 1,846.2 |
| 30.000 | 1,909.9 |
| 31.000 | 1,973.5 |
| 32.000 | 2,037.2 |
| 33.000 | 2,100.8 |
| 34.000 | 2,164.5 |
| 35.000 | 2,228.2 |
| 36.000 | 2,291.8 |
| 37.000 | 2,355.5 |
| 38.000 | 2,419.2 |
| 39.000 | 2,482.8 |
| rad | gon |
|---|---|
| 40.000 | 2,546.5 |
| 41.000 | 2,610.1 |
| 42.000 | 2,673.8 |
| 43.000 | 2,737.5 |
| 44.000 | 2,801.1 |
| 45.000 | 2,864.8 |
| 46.000 | 2,928.5 |
| 47.000 | 2,992.1 |
| 48.000 | 3,055.8 |
| 49.000 | 3,119.4 |
| 50.000 | 3,183.1 |
| 51.000 | 3,246.8 |
| 52.000 | 3,310.4 |
| 53.000 | 3,374.1 |
| 54.000 | 3,437.7 |
| 55.000 | 3,501.4 |
| 56.000 | 3,565.1 |
| 57.000 | 3,628.7 |
| 58.000 | 3,692.4 |
| 59.000 | 3,756.1 |
| rad | gon |
|---|---|
| 60.000 | 3,819.7 |
| 61.000 | 3,883.4 |
| 62.000 | 3,947.0 |
| 63.000 | 4,010.7 |
| 64.000 | 4,074.4 |
| 65.000 | 4,138.0 |
| 66.000 | 4,201.7 |
| 67.000 | 4,265.4 |
| 68.000 | 4,329.0 |
| 69.000 | 4,392.7 |
| 70.000 | 4,456.3 |
| 71.000 | 4,520.0 |
| 72.000 | 4,583.7 |
| 73.000 | 4,647.3 |
| 74.000 | 4,711.0 |
| 75.000 | 4,774.6 |
| 76.000 | 4,838.3 |
| 77.000 | 4,902.0 |
| 78.000 | 4,965.6 |
| 79.000 | 5,029.3 |
Radians to Gradians Conversion
Radians and gradians are units for measuring angles; gradians divide a right angle into 100 parts, making a full circle 400 gradians. Conversion uses a scale factor: 1 radian equals 200/π gradians. Gradians are used in fields like surveying and civil engineering.
Sources: CGPM resolutions on SI units
Radians → Gradians
Converting Radians (rad) to Gradians (gon) is a common angle conversion. 1 rad equals 63.661977 gon. For example, 100 rad is equal to 6,366.197724 gon.
Quick Mental Math: Radians to Gradians
Multiply radians by about 63.662 to get gradians (approximate).
Why is converting Radians to Gradians tricky?
Similar unit names and uncommon usage of gradians cause confusion, especially against degrees and radians.
Quick Reference Values
1 rad = 63.661977 gon. 5 rad = 318.309886 gon. 10 rad = 636.619772 gon. 25 rad = 1,591.549431 gon. 50 rad = 3,183.098862 gon. 100 rad = 6,366.197724 gon.
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 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].
Common Misspellings
People often search for this conversion using these alternate spellings: radianes, radias, radans, radiens, gradian, graden, gradian. All of these refer to the Radians to Gradians conversion.
FAQ
Why use gradians instead of degrees or radians?
Gradians simplify decimal-based calculations since a right angle is 100 gradians, facilitating metric-based subdivisions.