All Angle Equivalents
Angle Conversion Table
| rad | ° | ' | " | mrad |
|---|---|---|---|---|
| 1 | 57.296 | 3,437.7 | 206,260 | 1,000 |
| 5 | 286.48 | 17,189 | 1,031,300 | 5,000 |
| 10 | 572.96 | 34,377 | 2,062,600 | 10,000 |
| 15 | 859.44 | 51,566 | 3,094,000 | 15,000 |
| 30 | 1,718.9 | 103,130 | 6,187,900 | 30,000 |
| 45 | 2,578.3 | 154,700 | 9,281,900 | 45,000 |
| 60 | 3,437.7 | 206,260 | 12,376,000 | 60,000 |
| 90 | 5,156.6 | 309,400 | 18,564,000 | 90,000 |
| 180 | 10,313 | 618,790 | 37,128,000 | 180,000 |
| 360 | 20,626 | 1,237,600 | 74,255,000 | 360,000 |
Angle Units
SI unit of angle. Defined as the angle subtended by an arc equal in length to the radius. Required for trigonometric calculations.
Most common angle unit in engineering practice. 360° in a full circle. Standard for drawings, specifications, and surveying.
Also called gon. 400 gradians in a full circle. Used in European surveying where 100 grad = right angle.
1/60 of a degree. Used in surveying, navigation, and astronomy for precise angle measurements.
1/3600 of a degree. Used for precise surveying, geodesy, and astronomical measurements.
One thousandth of a radian. Used in military targeting, optics, and precision engineering. ~0.0573°.
One complete rotation = 2π radians = 360°. Used in rotational mechanics and some frequency specifications.
One quarter turn = 90° = π/2 radians. Used in navigation and some surveying conventions.
Popular Angle Conversions
- Degree to Radian (° → rad)
- Radian to Degree (rad → °)
- Degree to Gradian (° → grad)
- Gradian to Degree (grad → °)
- Degree to Arcminute (° → ')
- Degree to Arcsecond (° → ")
- Radian to Milliradian (rad → mrad)
- Milliradian to Degree (mrad → °)
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