The result of converting 120 degrees to radians is approximately 2.0944 radians.
Since 1 degree equals π divided by 180 radians, multiplying 120 degrees by π/180 gives the value in radians. This conversion is necessary because radians measure angles based on arc length, making calculations in mathematics and physics more straightforward.
Conversion Result
120 degrees equals approximately 2.0944 radians.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert degrees to radians is: radians = degrees * (π / 180). This works because a full circle has 2π radians, which corresponds to 360 degrees. Dividing π by 180 converts degrees into the proportional part of a circle measured in radians. For example, 120 degrees: 120 * (π / 180) = 2.0944 radians.
Conversion Example
- Convert 45 degrees to radians:
- Multiply 45 by π/180
- 45 * (π / 180) = 0.7854 radians
- Convert 90 degrees to radians:
- Multiply 90 by π/180
- 90 * (π / 180) = 1.5708 radians
- Convert 150 degrees to radians:
- Multiply 150 by π/180
- 150 * (π / 180) = 2.61799 radians
- Convert 60 degrees to radians:
- Multiply 60 by π/180
- 60 * (π / 180) = 1.0472 radians
- Convert 30 degrees to radians:
- Multiply 30 by π/180
- 30 * (π / 180) = 0.5236 radians
Conversion Chart
| Degrees | Radians |
|---|---|
| 95.0 | 1.6581 |
| 100.0 | 1.7453 |
| 105.0 | 1.8326 |
| 110.0 | 1.9199 |
| 115.0 | 2.0071 |
| 120.0 | 2.0944 |
| 125.0 | 2.1817 |
| 130.0 | 2.2689 |
| 135.0 | 2.3562 |
| 140.0 | 2.4435 |
| 145.0 | 2.5307 |
Use this chart to quickly find the radian equivalent for degrees within this range. Read across the row to see the corresponding radian value for each degree measurement.
Related Conversion Questions
- How many radians are in 120 degrees?
- What is 120 degrees in terms of radians?
- Convert 120 deg to radians without a calculator?
- Is 120 degrees equal to 2.0944 radians?
- How do I quickly change 120 degrees to radians?
- What is the radian measure of an angle that is 120 degrees?
- How can I verify the conversion of 120 degrees to radians manually?
Conversion Definitions
Deg
Deg, short for degrees, is a unit of angle measurement dividing a circle into 360 equal parts, making it easy to describe angles in everyday and mathematical contexts. It is widely used in navigation, geometry, and various scientific fields for angle representation.
Rad
Rad, or radians, is an angular measurement based on the radius of a circle, where one radian equals the angle at which the arc length equals the radius. It provides a natural measure for angles in mathematics, especially calculus and advanced physics calculations.
Conversion FAQs
Why is radians preferred over degrees in advanced mathematics?
Because radians provide a natural measure for angles, simplifying the derivatives and integrals of trigonometric functions. They relate directly to the geometry of circles, making calculations more straightforward without additional conversions.
Can I convert radians back to degrees easily?
Yes, the reverse conversion uses the formula: degrees = radians * (180 / π). This allows easy translation from radians to degrees for practical and computational needs.
What happens if I accidentally use the wrong conversion factor?
Using an incorrect factor results in inaccurate angle measurements, potentially causing errors in calculations involving rotations, oscillations, or wave functions, which depend on precise angle values.
Last Updated : 05 June, 2025
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Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.