Angle
Convert Degree to Radian
From
To
Common Conversions:
What is Unit Conversion?
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. This is essential for scientific research, engineering, commerce, and daily life, ensuring consistency and accuracy across different measurement systems.
Purpose of Angle Conversions
Angle conversions are essential in mathematics, engineering, navigation, and everyday tasks. They allow us to switch between degrees, radians, and gradians, making it possible to solve geometric problems, calibrate instruments, and navigate accurately.
Projects That Require Angle Conversions
Angle conversions are used in navigation, robotics, and construction projects. Surveyors, engineers, and pilots rely on them for accurate measurements and calculations.
Historical Background
The measurement of angles dates back to ancient astronomy and geometry. Early mathematicians used degrees, while radians and gradians were developed for scientific and engineering applications.
| Unit | In Degrees (°) | Real-world Example |
|---|---|---|
| Degree | 1° | Angle between hour marks on a clock |
| Radian | 57.2958° | Angle subtended by an arc equal to the radius of a circle |
| Grad (gon) | 0.9° | Used in surveying and engineering |
| Arcminute | 0.0166667° | Angular size of Venus from Earth |
| Arcsecond | 0.000277778° | Precision of astronomical measurements |
| Turn | 360° | Complete rotation around a circle |
| point | 11.25° | Direction on a 32-point compass |
| Mil | 0.05625° | Artillery and military applications |
| Quadrant | 90° | Quarter of a circle |