MetricConv logo

Degree Converter

Convert Degree to Radian and more • 13 conversions

Result

0

1 0
Conversion Formula
1 = ---
Quick Reference
1 = 1
10 = 10
50 = 50
100 = 100
500 = 500
1000 = 1000

Unit Explanations

Degree°

Source Unit

The degree is a unit of angular measurement that defines the size of an angle by dividing a full rotation into 360 equal parts. Each degree can be further divided into 60 minutes, and each minute into 60 seconds, leading to precise measurements in various applications. The degree is widely used in fields such as geography, astronomy, and engineering, facilitating the specification of angles in a comprehensible format. This unit is critical for navigation, where precise angular measurements are essential for determining courses and bearings. The degree is also vital in fields like trigonometry, where it plays a crucial role in the study of angles and their relationships in geometric figures.

1° = (π/180) radians

Current Use

Degrees are extensively used in various industries including navigation, meteorology, engineering, and architecture. In navigation, degrees help in determining the direction of travel, with the compass rose divided into 360 degrees. In meteorology, temperature is often measured in degrees Celsius or Fahrenheit, and wind direction is reported in degrees from true north. Engineers utilize degrees to define angles in design and construction, ensuring structural integrity and precision. Architects apply degree measurements in building designs, while in the realm of technology, computer graphics rely on degrees for rendering angles and rotations. Countries worldwide use degrees for educational purposes in mathematics and science, making it a fundamental unit in curricula. The degree is also prevalent in sports for measuring angles in various athletic activities.

Fun Fact

The ancient Babylonians were the first to divide the circle into 360 degrees.

Radianradian

Target Unit

Radian is a unit of angle used in various contexts.

Current Use

To be populated.

Decimals:
Scientific:OFF

Result

0

1
0
Conversion Formula
1 = ...
1→1
10→10
100→100
1000→1000

📐Conversion Formula

= × 1.00000

How to Convert

To convert to , multiply the value by 1.00000. This conversion factor represents the ratio between these two units.

Quick Examples

1
=
1.000
10
=
10.00
100
=
100.0

💡 Pro Tip: For the reverse conversion (), divide by the conversion factor instead of multiplying.

°

Degree

angleNon-SI

Definition

The degree is a unit of angular measurement that defines the size of an angle by dividing a full rotation into 360 equal parts. Each degree can be further divided into 60 minutes, and each minute into 60 seconds, leading to precise measurements in various applications. The degree is widely used in fields such as geography, astronomy, and engineering, facilitating the specification of angles in a comprehensible format. This unit is critical for navigation, where precise angular measurements are essential for determining courses and bearings. The degree is also vital in fields like trigonometry, where it plays a crucial role in the study of angles and their relationships in geometric figures.

History & Origin

The degree as a unit of angle measurement dates back to ancient civilizations, particularly the Babylonians who divided the circle into 360 parts, likely due to their base-60 numerical system. The choice of 360 may also correspond to the approximate number of days in a year, making it a practical choice for astronomical observations. This division allowed for the development of a sophisticated understanding of geometry and navigation. The use of degrees was further solidified by Greek mathematicians such as Euclid, who explored the properties of angles in depth. Over time, the degree became a standard unit in various cultures and fields, cementing its place in mathematical and practical applications.

Etymology: The term 'degree' originates from the Latin word 'gradus,' meaning 'step' or 'grade,' reflecting the concept of steps in a progression or measurement.

1790: The metric system was proposed...1959: The definition of the degree w...

Current Use

Degrees are extensively used in various industries including navigation, meteorology, engineering, and architecture. In navigation, degrees help in determining the direction of travel, with the compass rose divided into 360 degrees. In meteorology, temperature is often measured in degrees Celsius or Fahrenheit, and wind direction is reported in degrees from true north. Engineers utilize degrees to define angles in design and construction, ensuring structural integrity and precision. Architects apply degree measurements in building designs, while in the realm of technology, computer graphics rely on degrees for rendering angles and rotations. Countries worldwide use degrees for educational purposes in mathematics and science, making it a fundamental unit in curricula. The degree is also prevalent in sports for measuring angles in various athletic activities.

NavigationMeteorologyEngineeringArchitectureSportsEducation

💡 Fun Facts

  • The ancient Babylonians were the first to divide the circle into 360 degrees.
  • In ancient times, the 360-degree system was linked to the number of days in a year.
  • The term 'degree' was first used in its current context in the 14th century.

📏 Real-World Examples

60 degrees
Measuring the angle of a triangle
30 degrees
Setting an angle for a roof pitch
90 degrees
Defining a turn in navigation
45 degrees
Calculating the angle of elevation
120 degrees
Setting angles in a protractor
270 degrees
Determining wind direction

🔗 Related Units

Radian (1 radian = 180/π degrees)Minute (1 degree = 60 minutes)Second (1 minute = 60 seconds)Turn (1 turn = 360 degrees)Gradian (1 degree = 10/9 gradian)Steradian (Angles in three dimensions, not directly comparable but related in spatial measurements.)
R

Radian

angleNon-SI

Definition

Radian is a unit of angle used in various contexts.

History & Origin

To be populated.

Etymology: To be populated.

Current Use

To be populated.

Frequently Asked Questions

How do I convert to ?

To convert to , multiply your value by 1. For example, 10 equals 10 .

What is the formula for to conversion?

The formula is: = × 1. This conversion factor is based on international standards.

Is this to converter accurate?

Yes! MetricConv uses internationally standardized conversion factors from organizations like NIST and ISO. Our calculations support up to 15 decimal places of precision, making it suitable for scientific, engineering, and everyday calculations.

Can I convert back to ?

Absolutely! You can use the swap button (⇄) in the converter above to reverse the conversion direction, or visit our to converter.

Advertisement
AD SPACE - 320x100
BANNER AD - 320x50