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Degree Converter

Convert Degree to Sign 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.

Sign°

Target Unit

The sign, also known as a circle degree or simply degree, is a unit of angular measurement that represents 1/360th of a full rotation around a circle. Each sign is subdivided into 60 arcminutes, and each arcminute is further divided into 60 arcseconds. It is used extensively in various fields like mathematics, navigation, and engineering to quantify angles. The sign is essential in trigonometry, where it is utilized to define functions such as sine, cosine, and tangent. The concept of measuring angles in a circular format allows for practical applications in astronomy, geography, and physics. Thus, the sign plays a crucial role in both theoretical and applied sciences.

Angle (in degrees) = (Arc Length / Radius) × (180/π)

Current Use

The sign is presently used in a multitude of fields including mathematics, physics, engineering, and navigation. In mathematics, it forms the basis for trigonometric functions, which are critical in solving problems involving right triangles and circular motion. In physics, angles measured in degrees are crucial for understanding motion, forces, and light. Engineering disciplines utilize the degree in various applications, from designing structures to analyzing mechanisms. Navigation uses degrees to specify directions and locations on Earth, particularly in cartography and GPS technology. Countries around the world universally adopt degrees for educational purposes, ensuring a standardized approach to teaching geometry and physics.

Fun Fact

The degree symbol (°) is often used in weather forecasts to indicate temperature.

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.)
°

Sign

angleNon-SI

Definition

The sign, also known as a circle degree or simply degree, is a unit of angular measurement that represents 1/360th of a full rotation around a circle. Each sign is subdivided into 60 arcminutes, and each arcminute is further divided into 60 arcseconds. It is used extensively in various fields like mathematics, navigation, and engineering to quantify angles. The sign is essential in trigonometry, where it is utilized to define functions such as sine, cosine, and tangent. The concept of measuring angles in a circular format allows for practical applications in astronomy, geography, and physics. Thus, the sign plays a crucial role in both theoretical and applied sciences.

History & Origin

The concept of dividing a circle into equal parts can be traced back to ancient civilizations, notably the Babylonians, who adopted a base-60 number system. This division into 360 degrees likely stems from their astronomical observations, as they noted the approximate number of days in a year. The use of 360 as a full rotation reflects an early understanding of celestial movements and has been preserved through history in various mathematical and scientific applications.

Etymology: The term 'degree' is derived from the Latin word 'gradus,' meaning 'step.' This reflects the idea of measuring angles as steps in a circular motion.

3000: First recorded use of angle me...1583: Introduction of the degree in ...

Current Use

The sign is presently used in a multitude of fields including mathematics, physics, engineering, and navigation. In mathematics, it forms the basis for trigonometric functions, which are critical in solving problems involving right triangles and circular motion. In physics, angles measured in degrees are crucial for understanding motion, forces, and light. Engineering disciplines utilize the degree in various applications, from designing structures to analyzing mechanisms. Navigation uses degrees to specify directions and locations on Earth, particularly in cartography and GPS technology. Countries around the world universally adopt degrees for educational purposes, ensuring a standardized approach to teaching geometry and physics.

MathematicsPhysicsEngineeringNavigationAstronomy

💡 Fun Facts

  • The degree symbol (°) is often used in weather forecasts to indicate temperature.
  • The concept of 360 degrees likely originated from the ancient Sumerians and their observations of the stars.
  • In geometry, a full rotation is equal to 360 degrees, but in radians, it is equal to 2π.

📏 Real-World Examples

60 °
Measuring the angle of a triangle
90 °
Navigating using a compass
45 °
Setting a camera angle
30 °
Determining the slope of a hill
108 °
Calculating angles in a polygon
25 °
Modifying the angle of solar panels

🔗 Related Units

Radian (1 radian is approximately equal to 57.2958 degrees.)Gradian (1 degree is equal to 1.1111 gradians.)Arcminute (1 degree equals 60 arcminutes.)Arcsecond (1 degree equals 3600 arcseconds.)Revolution (1 revolution equals 360 degrees.)Turn (1 turn is equal to 360 degrees.)

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.

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