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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) : Mathematics, Geometry

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Convert Angle Units

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

Answers to Questions

How to convert degrees to radian

Conversion of degrees to radians uses the formula:

$$ \mbox{ Rad} = \mbox{ Deg} * \pi / 180 $$

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 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:

$$ Grad = Deg / 360 * 400 $$

Example: $$ 90° / 360 \times 400 = 100 \mbox{ Grad} $$

How to convert degrees to arc seconds

Conversion of degrees to arc seconds:

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:

$$ Deg = Grad / 400 * 360 $$

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