Degrees to Radians Converter
Radians:
Usage Instructions:
Objective: Convert a value in degrees to radians.
Steps:
- Enter Degrees: Input the degrees value in the provided field.
- Click "Convert to Radians": Press the button to perform the conversion.
- View the Result: The converted value in radians will be displayed in the output area.
Note: Ensure that the entered value is a valid number.
Degrees to Radians Conversion
Understanding the Units:
- Degrees: Commonly used to measure angles, where a full circle is 360 degrees.
- Radians: Another way to measure angles, with a full circle equal to approximately 6.283 radians (or 2π radians).
Conversion Formula
To convert degrees to radians, use the formula:
Radians = Degrees × (π / 180)
Where π (Pi) is approximately 3.14159.
Example Conversions
| Degrees | Formula | Radians |
|---|---|---|
| 0° | 0 × (3.14159 / 180) | 0 rad |
| 30° | 30 × (3.14159 / 180) | 0.524 rad |
| 45° | 45 × (3.14159 / 180) | 0.785 rad |
| 90° | 90 × (3.14159 / 180) | 1.570 rad |
| 180° | 180 × (3.14159 / 180) | 3.142 rad |
| 360° | 360 × (3.14159 / 180) | 6.283 rad |
Steps for Manual Conversion
- Identify the Degrees: For example, if you have 60 degrees.
- Apply the Conversion Formula:
- Multiply the number of degrees by (π / 180).
- For 60 degrees: 60×(3.14159/180)=1.047radians60 × (3.14159 / 180) = 1.047 radians.
Using Online Tools
There are many online calculators that can automate this conversion:
Using Programming Languages
You can also use simple scripts to convert degrees to radians in different programming languages.
Python Example:
import math
def degrees_to_radians(degrees):
return degrees * (math.pi / 180)
# Example usage
degrees = 60
radians = degrees_to_radians(degrees)
print(radians) # Output: 1.0471975511965976
JavaScript Example:
function degreesToRadians(degrees) {
return degrees * (Math.PI / 180);
}
// Example usage
const degrees = 60;
const radians = degreesToRadians(degrees);
console.log(radians); // Output: 1.0471975511965976
Summary
Converting degrees to radians involves multiplying the degree value by (π / 180). This conversion is commonly used in trigonometry, calculus, and various fields of science and engineering. You can perform the conversion manually, use online tools, or write simple code snippets in programming languages like Python or JavaScript to make the process easier.
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