Degree to Arcminute Converter

Result

60
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Conversion Formula

Factor

1 =60 1\ \mathrm{^{\circ}} = 60\ \mathrm{\prime}

Formula

=×60\mathrm{\prime} = \mathrm{^{\circ}} \times 60

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.

Arcminute (′)

Definition

An arcminute (′) is a unit of angular measurement equal to 1/60 of a degree. It provides finer precision than degrees for measuring small angles, particularly useful in astronomy and navigation.

History

Arcminutes developed from the Babylonian base-60 system, where each degree was subdivided into 60 minutes. The term 'minute' comes from the Latin 'pars minuta prima' meaning 'first small part'. This subdivision system has been used in astronomy and navigation for over 2,000 years.

Current Use

Arcminutes are extensively used in astronomy for measuring celestial object positions and separations, in surveying for precise land measurements, and in navigation for GPS coordinates. They're also used in optics for measuring angular resolution and in artillery for targeting calculations.

Conversion Table

Degree(°)
Arcminute()
1
60
2
120
3
180
4
240
5
300
6
360
7
420
8
480
9
540
10
600
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Conversion Examples

Convert 1 Degree to Arcminute

  1. Conversion Factor: 1 ° = 60
  2. Conversion Formula: ′ = ° × 60
  3. Calculation: 1 ° × 60 = 60

Convert 10 Degree to Arcminute

  1. Conversion Factor: 1 ° = 60
  2. Conversion Formula: ′ = ° × 60
  3. Calculation: 10 ° × 60 = 600

Convert 100 Degree to Arcminute

  1. Conversion Factor: 1 ° = 60
  2. Conversion Formula: ′ = ° × 60
  3. Calculation: 100 ° × 60 = 6,000

Convert 1,000 Degree to Arcminute

  1. Conversion Factor: 1 ° = 60
  2. Conversion Formula: ′ = ° × 60
  3. Calculation: 1,000 ° × 60 = 60,000
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