18 Degree to Radian
Quick answer
18 Degree (°) equals
0.314159 rad
To convert 18 degrees to Radians, multiply by 0.0174532925. Therefore, 18 Degree (°) equals 0.314159 Radian (rad).
Formula: rad = ° × 0.0174532925. Calculation: 18 × 0.0174532925 = 0.314159 rad.
Convert Degree (°) to Radian (rad) online with our free unit converter. In angle, 1 ° = 0.017453 rad. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.
Worked example: converting Degree to Radian
- Step 1 — start with the formula. rad = ° × 0.0174532925
- Step 2 — substitute your figure. 18 ° × 0.0174532925
- Step 3 — read the result. 18 ° = 0.314159 rad
- Step 4 — check it in reverse. ° = rad × 57.2957795131 returns 18 °, which matches the figure you started with.
Angle Converter
14 units available
18 ° = 0.314159 rad
Formula:
rad = ° × 0.0174532925With your value: 18 ° = 0.31415927 rad
Other Degree to Radian conversions
Degree to Radian Conversion Table
| Degree (°) | Radian (rad) |
|---|---|
| 0.5 | 0.008727 |
| 1 | 0.017453 |
| 2 | 0.034907 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 15 | 0.261799 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.745329 |
| 250 | 4.363323 |
| 500 | 8.726646 |
| 1000 | 17.453293 |
Radian to Degree Conversion Table
| Radian (rad) | Degree (°) |
|---|---|
| 0.5 | 28.64789 |
| 1 | 57.29578 |
| 2 | 114.591559 |
| 5 | 286.478898 |
| 10 | 572.957795 |
| 15 | 859.436693 |
| 20 | 1,145.91559 |
| 25 | 1,432.394488 |
| 50 | 2,864.788976 |
| 100 | 5,729.577951 |
| 250 | 14,323.944878 |
| 500 | 28,647.889757 |
| 1000 | 57,295.779513 |
Where these values come from
Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.
Degree (°)
Angle
1° = π/180 rad exactly; accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Radian (rad)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Standards and context behind Degree to Radian
- Radian
- The SI coherent unit of plane angle; a full turn is 2π rad = 360°.
How to Convert Degree to Radian
To convert from Degree (°) to Radian (rad), multiply the value by 0.0174532925.
Formula: rad = ° × 0.0174532925
Reverse: ° = rad × 57.2957795131
Step-by-Step Example
- Start with your value in Degree. For example: 5 °
- Multiply by the conversion factor: 5 x 0.0174532925
- The result is: 0.087266 rad
Degree and Radian Relationship
This calculation facilitates standardized conversion between recognized units of angle. Since 1 Degree represents a fraction of a Radian (1 Radian ≈ 57.2958 degrees), the Radian is the larger measurement interval. Understanding the relationship between Degree and Radian is essential for accurate calculations in physics, engineering, commerce, and daily applications.
About Degree
The degree is a measurement of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angular measurement.
Common uses of Degree: navigation, geometry, construction.
About Radian
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
Fun Fact: A full circle contains exactly 2π radians.
Common uses of Radian: mathematics, physics, engineering.
Frequently Asked Questions
- What is 18 Degree in Radian?
- 18 Degree equals 0.314159 Radian.
- How many Radians are in 1 Degree?
- There are exactly 0.0174532925 Radians in 1 Degree. This means the conversion factor from Degree to Radian is 0.0174532925.
- What is the formula to convert Degree to Radian?
- The formula to convert Degree to Radian is: rad = ° × 0.0174532925. For example, to convert 10 degrees to Radians, you would multiply 10 by 0.0174532925.
- What is a Degree?
- The degree is a measurement of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angular measurement.
- What is a Radian?
- The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
- What are the common uses of Degree?
- The Degree is commonly used in navigation, geometry, construction.
- Why do calculators give strange trig answers?
- Usually because the mode is set to radians when the input is degrees, or vice versa.
Related Angle Conversions
Cite this page
UnitConvertLab. (2026). 18 Degree to Radian. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/18-degree-to-radian