Radians to Degrees Converter
Degrees:
Usage Instructions:
Objective: Convert a value in radians to degrees.
Steps:
- Enter Radians: Input the radians value in the provided field.
- Click "Convert to Degrees": Press the button to perform the conversion.
- View the Result: The converted value in degrees will be displayed in the output area.
Note: Ensure that the entered value is a valid number.
To convert radians to degrees, you can use a straightforward formula. Below is a guide on how to perform this conversion with explanations and examples.
Understanding Radians and Degrees
- Radians: A unit of angle measurement used in mathematics, where a full circle is 2π radians.
- Degrees: A more familiar unit for measuring angles, with a full circle equaling 360 degrees.
Conversion Formula
To convert radians to degrees, use the formula:
Degrees = Radians × (180 / π)
Where π (Pi) is approximately 3.14159.
Example Conversions
| Radians | Formula | Degrees |
|---|---|---|
| 0 rad | 0 × (180 / 3.14159) | 0° |
| 0.5 rad | 0.5 × (180 / 3.14159) | 28.65° |
| 1 rad | 1 × (180 / 3.14159) | 57.30° |
| 1.57 rad | 1.57 × (180 / 3.14159) | 90° |
| 3.14 rad | 3.14 × (180 / 3.14159) | 180° |
| 6.28 rad | 6.28 × (180 / 3.14159) | 360° |
Manual Conversion Steps
- Identify the Radian Value: For example, let’s use 2 radians.
- Apply the Conversion Formula:
- Multiply the radian value by (180 / π).
- For 2 radians: 2 × (180 / 3.14159) = 114.59°.
Using Programming Languages
You can use programming languages to automate the conversion.
Python Example:
import math
def radians_to_degrees(radians):
return radians * (180 / math.pi)
# Example usage
radians = 2
degrees = radians_to_degrees(radians)
print(degrees) # Output: 114.59155902616465
JavaScript Example:
function radiansToDegrees(radians) {
return radians * (180 / Math.PI);
}
// Example usage
const radians = 2;
const degrees = radiansToDegrees(radians);
console.log(degrees); // Output: 114.59155902616465
Summary
Converting radians to degrees is as simple as multiplying the radian value by (180 / π). This conversion is useful in various fields like mathematics, physics, and engineering, where understanding angles in degrees can be more intuitive than radians. You can perform this conversion manually, use online calculators, or employ simple code snippets in programming languages like Python or JavaScript.
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