Degree to Turn Converter

Result

0.00277778
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Conversion Formula

Factor

1 =0.00277778 turn1\ \mathrm{^{\circ}} = 0.00277778\ \mathrm{turn}

Formula

turn=÷360\mathrm{turn} = \mathrm{^{\circ}} \div 360

Unit Description

Degree (°)

Definition

A degree (°) is a unit of angular measurement equal to 1/360 of a full rotation. It divides a complete circle into 360 equal parts, making it one of the most widely used angle measurements.

History

The degree system originated with ancient Babylonian astronomers around 2000 BCE, who used a base-60 number system and divided the circle into 360 degrees. This choice was influenced by their calendar of approximately 360 days and the convenience of 360 being divisible by many numbers. The system was later adopted by Greek astronomers and has remained standard ever since.

Current Use

Degrees are universally used in navigation, surveying, engineering, architecture, and everyday applications. They're standard for compass bearings, geographic coordinates (latitude/longitude), construction angles, and in most educational contexts. Weather reports, GPS systems, and most angle-measuring tools use degrees.

Turn (turn)

Definition

A turn is a unit of angular measurement representing one complete rotation or revolution, equal to 360 degrees or 2π radians. It represents the most fundamental concept of rotational measurement.

History

The concept of a complete turn or revolution has been understood since ancient times, but its formal use as a unit of measurement became more common in modern mathematics and engineering. It provides an intuitive way to express rotational quantities without conversion factors.

Current Use

Turns are used in mechanical engineering for describing rotational speed (revolutions per minute), in computer graphics for rotation transformations, and in some mathematical contexts where full rotations are more natural than degrees or radians. They're also used in describing gear ratios and motor specifications.

Conversion Table

Degree(°)
Turn(turn)
1
0.00277778
2
0.00555556
3
0.00833333
4
0.0111111
5
0.0138889
6
0.0166667
7
0.0194444
8
0.0222222
9
0.025
10
0.0277778
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Conversion Examples

Convert 1 Degree to Turn

  1. Conversion Factor: 1 ° = 0.00277778 turn
  2. Conversion Formula: turn = ° ÷ 360
  3. Calculation: 1 ° ÷ 360 = 0.00277778 turn

Convert 10 Degree to Turn

  1. Conversion Factor: 1 ° = 0.00277778 turn
  2. Conversion Formula: turn = ° ÷ 360
  3. Calculation: 10 ° ÷ 360 = 0.0277778 turn

Convert 100 Degree to Turn

  1. Conversion Factor: 1 ° = 0.00277778 turn
  2. Conversion Formula: turn = ° ÷ 360
  3. Calculation: 100 ° ÷ 360 = 0.277778 turn

Convert 1,000 Degree to Turn

  1. Conversion Factor: 1 ° = 0.00277778 turn
  2. Conversion Formula: turn = ° ÷ 360
  3. Calculation: 1,000 ° ÷ 360 = 2.77778 turn
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