Angle Calculator in Degrees and Minutes

An angle calculator in degrees and minutes helps you convert between these two common angle measurement units. This tool is useful for navigation, astronomy, surveying, and other fields where precise angle measurements are needed.

What is an Angle in Degrees and Minutes?

An angle is a measure of rotation between two rays with a common endpoint. In degrees and minutes, angles are divided into degrees (°) and minutes (').

A full circle is 360 degrees. Each degree is divided into 60 minutes. So, 1 degree = 60 minutes. This system is commonly used in navigation, astronomy, and surveying.

1° = 60'

For example, 45 degrees and 30 minutes would be written as 45°30'. This means the angle is 45 degrees plus an additional 30 minutes.

How to Convert Between Degrees and Minutes

Converting between degrees and minutes is straightforward. Here are the formulas:

Degrees to Degrees and Minutes:

Degrees = Whole number of degrees

Minutes = (Decimal part of degrees) × 60

Degrees and Minutes to Decimal Degrees:

Decimal Degrees = Degrees + (Minutes ÷ 60)

For example, to convert 45.5° to degrees and minutes:

Identify the whole number of degrees: 45°
Calculate the minutes: (0.5 × 60) = 30'
Combine them: 45°30'

Conversely, to convert 45°30' back to decimal degrees:

Divide the minutes by 60: 30 ÷ 60 = 0.5
Add to the degrees: 45 + 0.5 = 45.5°

Examples of Angle Conversion

Here are some practical examples of angle conversion:

Example 1: Converting Decimal Degrees to Degrees and Minutes

Convert 30.75° to degrees and minutes.

Whole degrees: 30°
Decimal part: 0.75
Minutes: 0.75 × 60 = 45'
Result: 30°45'

Example 2: Converting Degrees and Minutes to Decimal Degrees

Convert 22°15' to decimal degrees.

Minutes to decimal: 15 ÷ 60 = 0.25
Add to degrees: 22 + 0.25 = 22.25°

Note: When working with angles, always ensure your measurements are in the correct units for your application. For example, navigation systems typically use decimal degrees, while some surveying tools use degrees and minutes.

FAQ

What is the difference between degrees and minutes?: Degrees are the primary unit of angle measurement, while minutes are smaller subdivisions. One degree equals 60 minutes, making minutes useful for more precise angle measurements.
When should I use degrees and minutes instead of decimal degrees?: Degrees and minutes are often used in fields like astronomy and surveying where precise fractional degrees are needed. Decimal degrees are more common in digital applications and navigation systems.
How do I convert minutes to seconds?: Each minute is divided into 60 seconds. So, to convert minutes to seconds, multiply by 60. For example, 2 minutes = 120 seconds.
Can I use this calculator for bearings in navigation?: Yes, this calculator can help with bearings by converting between degrees and minutes. However, always verify your results with a reliable navigation tool for critical applications.