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Degree Converter

Convert Degree to Revolution 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.

Revolutionrev

Target Unit

A revolution, often symbolized as 'rev', is defined as the angle subtended at the center of a circular path by an arc equal in length to the radius of the circle. It represents a full rotation, equating to 360 degrees or 2π radians. This unit is commonly used in various fields, including physics and engineering, to describe rotational motion, periodic phenomena, and angular measurements. The concept of a revolution encapsulates the idea of circular motion, where an object completes a full cycle around a point or axis, making it fundamental in the understanding of dynamics and kinematics in both classical and modern physics.

1 revolution = 360 degrees = 2π radians

Current Use

Revolutions are widely used in various fields including physics, engineering, and astronomy. In physics, they are crucial for analyzing rotational motion, where the speed of rotation can be expressed in revolutions per minute (RPM). Engineers use revolutions to design machinery, such as motors and gears, where understanding the number of revolutions is essential for efficiency and power calculations. In the field of astronomy, the concept of revolution is applied to describe the orbits of planets and moons, as well as the rotation of celestial bodies. Countries that utilize this measurement include the United States, which often uses RPM in automotive engineering, and Japan, known for its advancements in robotics where revolutions play a key role in servo motors. Additionally, revolutions are essential in calculating angular momentum and torque in mechanical systems, making them indispensable in both theoretical and practical applications.

Fun Fact

The Earth completes one revolution around the Sun in approximately 365.25 days, defining our year.

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.)
rev

Revolution

angleNon-SI

Definition

A revolution, often symbolized as 'rev', is defined as the angle subtended at the center of a circular path by an arc equal in length to the radius of the circle. It represents a full rotation, equating to 360 degrees or 2π radians. This unit is commonly used in various fields, including physics and engineering, to describe rotational motion, periodic phenomena, and angular measurements. The concept of a revolution encapsulates the idea of circular motion, where an object completes a full cycle around a point or axis, making it fundamental in the understanding of dynamics and kinematics in both classical and modern physics.

History & Origin

The concept of revolution dates back to ancient civilizations, where early astronomers and mathematicians recognized the periodic nature of celestial bodies. The Babylonian astronomers, for example, developed a system of angular measurement that included the division of a circle into 360 degrees, which became the basis for the modern understanding of a revolution. This division likely stemmed from their base-60 numerical system and the calendar year of approximately 360 days, illustrating the connection between time and angular measurement. The term 'revolution' itself has roots in the Latin word 'revolutio', meaning 'to turn over' or 'to roll back', reflecting the cyclical nature of the motion it describes.

Etymology: 'Revolution' comes from the Latin word 'revolutio', meaning 'a turning over'.

1582: The Gregorian calendar was int...1687: Isaac Newton published 'Philos...

Current Use

Revolutions are widely used in various fields including physics, engineering, and astronomy. In physics, they are crucial for analyzing rotational motion, where the speed of rotation can be expressed in revolutions per minute (RPM). Engineers use revolutions to design machinery, such as motors and gears, where understanding the number of revolutions is essential for efficiency and power calculations. In the field of astronomy, the concept of revolution is applied to describe the orbits of planets and moons, as well as the rotation of celestial bodies. Countries that utilize this measurement include the United States, which often uses RPM in automotive engineering, and Japan, known for its advancements in robotics where revolutions play a key role in servo motors. Additionally, revolutions are essential in calculating angular momentum and torque in mechanical systems, making them indispensable in both theoretical and practical applications.

AutomotiveAerospaceManufacturingRoboticsPhysicsAstronomy

💡 Fun Facts

  • The Earth completes one revolution around the Sun in approximately 365.25 days, defining our year.
  • The term 'revolution per minute' (RPM) was first used in the 19th century to measure the speed of engines.
  • In ancient times, the concept of revolution was used to explain celestial movements, leading to the development of calendars.

📏 Real-World Examples

3000 rev/min
A car engine running at 3000 RPM
2 rev
A bicycle wheel making 2 complete rotations
1 rev
A planet completing one revolution around the sun in one year
1200 rev/min
A washing machine spinning at 1200 RPM
33.3 rev/min
A turntable rotating at 33.3 RPM for vinyl records
5 rev
A Ferris wheel making 5 revolutions in 10 minutes

🔗 Related Units

Degree (1 revolution = 360 degrees)Radian (1 revolution = 2π radians)Arcminute (1 revolution = 21600 arcminutes)Arcsecond (1 revolution = 1296000 arcseconds)Turn (1 revolution = 1 turn)Milliradian (1 revolution = 6283.185 milliradians)

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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