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Home/Converters/Angle Converter

Angle Converter

Convert Between Units
Available Units
degree [°]
radian [rad]
gradian [^g]
minute [']
second ["]
Conversion Factors
• 1 degree [°] = 0.0174532925 radian [rad]
• 1 degree [°] = 1.1111111111 gradian [^g]
• 1 degree [°] = 59.99999988 minute [']
• 1 degree [°] = 3599.999712 second ["]
Understanding Angle Converter

Angle converter

An Angle converter makes quick work of changing angle measurements between formats like degrees, minutes and seconds, decimals, and common fractional forms. Whether you’re drafting plans in CAD, marking cuts in carpentry, or navigating with a bearing, this simple tool removes manual calculation and reduces errors. For tasks that require linear estimates, it can convert degrees to radians to compute arc length or offsets.

Angle Conversion Formula

Understanding the angle conversion formula makes manual conversions quick:

Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

To convert fractions to degrees, multiply the fraction by 360.

For linear conversions from an angle to a length (approximate for small angles):
length = radius × angle (in radians).

Use an angle converter to check results and avoid calculation errors.

Angle to Degree Formula

The angle-to-degree formula is straightforward and essential:
Decimal degrees = degrees + (minutes/60) + (seconds/3600)

To convert decimal degrees to DMS:
- degrees = integer part
- minutes = integer part of (decimal remainder × 60)
- seconds = remainder × 60

A good angle converter, much like a celsius to fahrenheit converter for temperatures, lets you toggle effortlessly between DMS and decimal formats.

Angle Converter Degrees, Minutes, Seconds

When precision matters, an angle converter degrees minutes seconds tool (called a DMS calculator) is indispensable. It handles:

- degrees, minutes, and seconds to decimal conversions
- DMS to decimal degrees and back
- degrees to fraction representations and fraction to degrees calculator functions

Using these features, you can move from surveying notes to CAD input without retyping values. The angle measurement calculator and the angle converter's degrees-minutes-seconds interface reduce errors when entering coordinates or machining angles.

- Angle to mm Converter

Sometimes you need to map an angle to a physical measurement. An angle-to-mm converter or angle-to-inches converter helps estimate the length along an arc or the offset of a component. Remember:

1. Convert the angle to radians first: radians = degrees × π / 180.
2. Arc length = radius × radians

This approach is helpful in machining, 3D printing, and layout tasks. Since angles often relate to size, pairing it with a reliable length converter makes the process even faster.

Frequently Asked Questions (FAQs)

How to convert angles into degrees?

Use the angle-to-degree formula: decimal degrees = degrees + minutes/60 + seconds/3600, or use an angle converter for instant results.

How to measure an angle with your phone?

Many phone apps include an angle converter or angle measure calculator that uses the device's gyroscope or camera to estimate angles accurately.

How to calculate degree angle?

Apply basic trigonometry or the angle conversion formula, and verify with an angle conversion calculator when precision is needed.

How to turn angles into fractions?

Convert degrees to a fraction of a full circle (fraction = degrees/360) or use a fraction-to-degrees calculator to switch between formats.

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