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Convert Angle Units

Tool to convert angles unit. Geometric angles can be described using different units (degrees, radian, degrees minutes and seconds, etc.)

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Convert Angle Units -

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 2024-11-21, https://www.dcode.fr/convert-angle-unit

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