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) : Mathematics, Geometry
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Convert Angle Units
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Convert angular units
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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