Explore the ease of converting angular measurements from degrees to radians with our Degree minute to Radian minute Converter, developed by Newtum, and satisfy your curiosity about this precise tool.
A degree is a unit of measurement for angles. One degree, denoted by the symbol °, is 1/360 of a full rotation or circle. The concept originates from the ancient Babylonians, who used a sexagesimal (base-60) number system. Essentially, a degree subdivides the circumference of a circle into 360 equal parts, with each part representing a degree of arc.
Definition of RadianA radian is the SI unit for measuring angles, and it is the standard unit of angular measure used in many areas of mathematics. One radian is the angle created when the arc length is equal to the radius of the circle. Therefore, a full circle consists of 2π radians, which is approximately 6.28319 radians.
| Degrees (°) | Radians (rad) |
|---|---|
| 1° | 0.01745 rad |
| 2° | 0.03491 rad |
| 3° | 0.05236 rad |
| 4° | 0.06981 rad |
| 5° | 0.08727 rad |
| 6° | 0.10472 rad |
| 7° | 0.12217 rad |
| 8° | 0.13963 rad |
| 9° | 0.15708 rad |
| 10° | 0.17453 rad |
1° = 0.01745 rad
1' = 0.000290888 rad
Example 1:
Convert 30° to rad:
30° = 30 × 0.01745 rad = 0.5235 rad
Example 2:
Convert 45° 30' to rad:
45° 30' = 45 × 0.01745 rad + 30 × 0.000290888 rad = 0.785398 rad + 0.00872665 rad = 0.794125 rad
The Degree minute to Radian minute Converter is a mathematical tool that has evolved from the ancient need to measure angles for astronomy and navigation. Its development reflects the transition from using sexagesimal units to the modern radian system, which is deeply rooted in calculus and trigonometry, essential for scientific progress.
Discover how the Degree minute to Radian minute Converter has practical applications in various fields, enhancing calculations and precision.
Example 1:
Convert 60° 15' to radians:
60° 15' = (60 × 0.01745) + (15 × 0.000290888) = 1.0472 + 0.00436432 = 1.05156432 rad
Example 2:
Convert 90° to radians:
90° = 90 × 0.01745 = 1.5708 rad
1. How accurate is the Degree minute to Radian minute Converter?
The converter is designed to be highly accurate, using precise mathematical formulas for conversion.
2. Can I convert radians back to degrees and minutes?
Yes, the tool also supports converting radians back to degrees and minutes for your convenience.
3. Is there a limit to the size of the angle I can convert?
No, you can convert any size angle, from very small to very large values.
