Tool to convert angles unit. Geometric angles can be described using different units (degrees, radian, degrees minutes and seconds, etc.)
Convert Angle Units - dCode
Tag(s) : Geometry
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Convert Angle Units
Convert angular units
Answers to Questions (FAQ)
What is an angle unit? (Definition)
The measure of an angle (or an angular sector) is a number (real and positive number) that can be displayed in several units: generally the radian or the degree.
A full turn is $ 2 \pi $ radians or $ 360 $ degrees.
How to convert degrees to radian?
Conversion of degrees to radians uses the angular formula:
$$ \mbox{ Rad} = \mbox{ Deg} \times \pi / 180 $$
To remember it, keep in mind that the Radians measure a circle over $ 2 \pi $ while the degrees measure a circle over $ 360 ° $. The relationship between the two angles is $ \frac{2\pi}{360}=\frac{\pi}{180} $.
Example: $$ 90° \times \pi / 180 = \frac{\pi}{2} \mbox{ Rad} $$
How to convert degrees to gradians?
Conversion of degrees to gradians uses the formula:
$$ Grad = Deg / 360 \times 400 $$
Example: $$ 90° / 360 \times 400 = 100 \mbox{ Grad} $$
How to convert degrees to arc seconds?
Converting from degrees to arc seconds:
$$ Deg = D + M/60 + S/3600 $$
Example: 1′ (arcminute) = 1°/60 = 0.0166°
Example: 1″ (arcsecond) = 1°/3600 = 0.000277°
How to convert radian to degrees?
Conversion of radians to degrees uses the formula:
$$ Deg = Rad \times 180 / \pi $$
Example: $$ \frac{\pi}{2} \times \frac{180}{\pi} = 90° $$
How to convert gradians to degrees?
Conversion of gradians to degrees uses the formula:
$$ Deg = Grad / 400 \times 360 $$
What are the relationships between degrees, minutes and seconds of arc?
The relationships between these angle subunits are as follows:
— 1 degree = 60 arc minutes
— 1 arc minute = 60 arc seconds
— 1 degree = 3600 arc seconds
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Convert Angle Units on dCode.fr [online website], retrieved on 2024-11-07,
- Convert angular units
- What is an angle unit? (Definition)
- How to convert degrees to radian?
- How to convert degrees to gradians?
- How to convert degrees to arc seconds?
- How to convert radian to degrees?
- How to convert gradians to degrees?
- What are the relationships between degrees, minutes and seconds of arc?
