Table of Contents
1. Radians to Degrees
Radians may be defined as the formal unit of angular measure. It is a derived unit in the International System of Units. An angle’s measurement in radians is numerically equivalent to the length of a corresponding arc of a unit circle. One radian is equivalent to 180/π (~57.296) degrees.
The degree may be defined as the is a unit of angular measurement, a full rotation of 360 degrees. Because a full rotation is equivalent 2π radians, one degree is equal to π/180 radians. Although a degree is not an SI (International System of Units) unit, it is a taken unit within the SI brochure.
| Radians (rad) in π Terms | Radians (rad) | Degrees (°) |
|---|---|---|
| 0 rad | 0 rad | 0° |
| π/6 rad | 0.5235987756 rad | 30° |
| π/4 rad | 0.7853981634 rad | 45° |
| π/3 rad | 1.0471975512 rad | 60° |
| π/2 rad | 1.5707963268 rad | 90° |
| 2π/3 rad | 2.0943951024 rad | 120° |
| 3π/4 rad | 2.3561944902 rad | 135° |
| 5π/6 rad | 2.6179938780 rad | 150° |
| π rad | 3.1415926536 rad | 180° |
| 3π/2 rad | 4.7123889804 rad | 270° |
| 2π rad | 6.2831853072 rad | 360° |
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