gon to rad | Gradians to Radians Converter

How to use this Gradians to Radians Converter 🤔

Follow these steps to convert given Gradians value from Gradians units to Radians units.

Enter the input Gradians value in the text field.
The given Gradians is converted to Radians in realtime ⌚ using the formula, and displayed under the Radians label.
You may copy the resulting Radians value using the Copy button.

Formula

To convert given angle from Gradians to Radians, use the following formula.

Radians = Gradians * π / 200

Calculation

Calculation will be done after you enter a valid input.

Gradians to Radians Conversion Table

The following table gives some of the most used conversions from Gradians to Radians.

Gradians (gon)	Radians (rad)
0 gon	0 rad
1 gon	0.01570796327 rad
10 gon	0.1571 rad
45 gon	0.7069 rad
90 gon	1.4137 rad
180 gon	2.8274 rad
360 gon	5.6549 rad
1000 gon	15.708 rad

Gradians

Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.

Radians

Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.

{ "conversion": "gradians-radians", "x_slug": "gradians", "y_slug": "radians", "x": "gon", "y": "rad", "x_desc": "Gradians", "y_desc": "Radians", "category": "Angle", "symbol": "m", "formula": "x * π / 200", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that a precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in gradians is:\n Angle(Gradians) = 100\n Formula:\n The formula to convert angle from gradians to radians is:\n Angle(Radians) = Angle(Gradians) × π / 200\n Substitution:\n Substitute given weight Angle(Gradians) = 100 in the above formula.\n Angle(Radians) = 100 × 3.14159265359 / 200\n Angle(Radians) = 1.5708\n Final Answer:\n Therefore, 100 gon is equal to 1.5708 rad.\n The angle is 1.5708 rad, in radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in gradians is:\n Angle(Gradians) = 90\n Formula:\n The formula to convert angle from gradians to radians is:\n Angle(Radians) = Angle(Gradians) × π / 200\n Substitution:\n Substitute given weight Angle(Gradians) = 90 in the above formula.\n Angle(Radians) = 90 × 3.14159265359 / 200\n Angle(Radians) = 1.4137\n Final Answer:\n Therefore, 90 gon is equal to 1.4137 rad.\n The angle is 1.4137 rad, in radians.\n </div>\n ", "table1n": "<h2>Gradians to Radians Conversion Table</h2>The following table gives some of the most used conversions from Gradians to Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (gon)</th><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><tr></thead><tbody><tr><td>0 gon</td><td>0 rad</td></tr><tr><td>1 gon</td><td>0.01570796327 rad</td></tr><tr><td>10 gon</td><td>0.1571 rad</td></tr><tr><td>45 gon</td><td>0.7069 rad</td></tr><tr><td>90 gon</td><td>1.4137 rad</td></tr><tr><td>180 gon</td><td>2.8274 rad</td></tr><tr><td>360 gon</td><td>5.6549 rad</td></tr><tr><td>1000 gon</td><td>15.708 rad</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "y_long_desc": "Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.", "x_long_desc": "Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions." }

Convert Gradians to Radians