## Effortlessly Convert Degrees to Radians with Newtum's Online Tool

(Last Updated On: 2024-05-13)

### What are Degree and Radian

Definition of Degree

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.

A 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.

Example 1:

Example 2:

### History of Degree and Radian

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.

### How to use Degree to Radian Converter

• Input the degree value you wish to convert in the designated field.
• If your measurement includes minutes, enter those in the next field.
• Click on the 'Convert' button to calculate the equivalent angle in radians.
• View the result displayed in radians for your original degree and minute input.

### Real Life Applications of Degree to Radian

Discover how the Degree minute to Radian minute Converter has practical applications in various fields, enhancing calculations and precision.

• Engineering and physics calculations often require angle conversions to ensure accuracy in design and analysis.
• Astronomy and navigation rely on conversions between degrees and radians for plotting celestial coordinates and courses.

### Solved Examples deg to rad

Example 1:
60° 15' = (60 × 0.01745) + (15 × 0.000290888) = 1.0472 + 0.00436432 = 1.05156432 rad

Example 2: