11 degrees is approximately 0.191986 radians.
To convert degrees to radians, you multiply the degree value by π divided by 180. This happens because a full circle is 360 degrees, which equals 2π radians, so every degree corresponds to π/180 radians.
Conversion Tool
Result in radians:
Conversion Formula
The formula used to convert degrees to radians is:
radians = degrees × (π / 180)
Why this formula works is because a full circle has 360 degrees and also equals 2π radians. Dividing both by 2, 180 degrees equals π radians. So, by multiplying degrees by π/180, you get its equivalent in radians.
For example, converting 11 degrees:
- Multiply 11 by π: 11 × π = 34.5575 (approx)
- Divide that by 180: 34.5575 ÷ 180 = 0.191986
- So, 11 degrees = 0.191986 radians
Conversion Example
- Convert 45 degrees to radians:
- Multiply 45 by π: 45 × π = 141.3717
- Divide by 180: 141.3717 ÷ 180 = 0.7854 radians
- Convert 90 degrees to radians:
- 90 × π = 282.7433
- 282.7433 ÷ 180 = 1.5708 radians
- Convert 30 degrees to radians:
- 30 × π = 94.2478
- 94.2478 ÷ 180 = 0.5236 radians
- Convert -60 degrees to radians:
- -60 × π = -188.4956
- -188.4956 ÷ 180 = -1.0472 radians
- Convert 120 degrees to radians:
- 120 × π = 376.9911
- 376.9911 ÷ 180 = 2.0944 radians
Conversion Chart
| Degrees | Radians |
|---|---|
| -14.0 | -0.2443 |
| -10.0 | -0.1745 |
| -5.0 | -0.0873 |
| 0.0 | 0.0000 |
| 5.0 | 0.0873 |
| 10.0 | 0.1745 |
| 15.0 | 0.2618 |
| 20.0 | 0.3491 |
| 25.0 | 0.4363 |
| 30.0 | 0.5236 |
| 35.0 | 0.6109 |
| 36.0 | 0.6283 |
This chart show degrees in the left column and their equivalent radians in the right column. You can find the degree value you want and see its approximate radian value next to it, useful for quick reference without calculation.
Related Conversion Questions
- How many radians are in 11 degrees?
- What is the formula to convert 11 degrees into radians?
- Can 11 degrees be converted to radians without a calculator?
- How does 11 degrees compare to radians on the unit circle?
- What is 11 degrees in radians rounded to four decimals?
- How do you convert negative 11 degrees to radians?
- Is 11 degrees more or less than 0.2 radians?
Conversion Definitions
Degrees: Degrees are a unit for measuring angles, dividing a circle into 360 equal parts. Each degree is further split into 60 minutes and each minute into 60 seconds. Degrees are commonly used in geometry, navigation, and everyday angle measurements.
Radians: Radians measure angles based on the radius of a circle. One radian equals the angle created when the length of the arc equals the radius. Because radians relate directly to circle properties, they are preferred in calculus and higher mathematics for angular measurement.
Conversion FAQs
Why use radians instead degrees in math?
Radians tie angles directly to the radius and arc length of a circle, which makes many mathematical formulas simpler and more natural. For example, derivatives and integrals involving trigonometric functions become easier using radians instead degrees, which are more arbitrary.
Is the conversion from degrees to radians exact?
The conversion formula degrees × π / 180 is exact mathematically. However, since π is irrational, the decimal value of radians will be approximate when written numerically, but the formula itself holds perfect in theory.
Can radians be negative like degrees?
Yes, radians can be negative just like degrees. Negative radians represent angles measured clockwise from the positive x-axis, similar to how negative degrees work in coordinate geometry and trigonometric contexts.
How to convert radians back to degrees?
To convert radians to degrees, multiply the radian value by 180 divided by π. This reverses the earlier conversion and gives the equivalent angle in degrees, undoing the original formula.
Does converting 11 degrees to radians depend on the circle size?
No, converting degrees to radians does not depend on the circle size because radians are a ratio of the arc length to the radius. This ratio remains constant regardless of the circle’s actual size.
Last Updated : 22 July, 2025
I’ve put so much effort writing this blog post to provide value to you. It’ll be very helpful for me, if you consider sharing it on social media or with your friends/family. SHARING IS ♥️
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.