How to use this Diameter Parts to Radians Converter 🤔
Follow these steps to convert given Diameter Parts value from Diameter Parts units to Radians units.
Enter the input Diameter Parts value in the text field.
The given Diameter Parts 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 Diameter Parts to Radians, use the following formula.
Radians = Diameter Parts * 2 * π / 376.991
Calculation
Calculation will be done after you enter a valid input.
Diameter Parts to Radians Conversion Table
The following table gives some of the most used conversions from Diameter Parts to Radians.
Diameter Parts (diameter part)
Radians (rad)
0 diameter part
0 rad
1 diameter part
0.0166666719rad
10 diameter part
0.1667rad
45 diameter part
0.75rad
90 diameter part
1.5rad
180 diameter part
3 rad
360 diameter part
6 rad
1000 diameter part
16.6667rad
Diameter Parts
Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential.
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": "diameter_part-radians",
"x_slug": "diameter_part",
"y_slug": "radians",
"x": "diameter part",
"y": "rad",
"x_desc": "Diameter Parts",
"y_desc": "Radians",
"category": "Angle",
"symbol": "m",
"formula": "x * 2 * π / 376.991",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a mechanical watch's gear rotates by 12 diameter parts.<br>Convert this rotation from diameter parts to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 12</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 2 × Ï€ / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 12</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>12</span> × 2 × 3.14159265359 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.2</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>12 diameter part</strong> is equal to <strong>0.2 rad</strong>.</p>\n <p>The angle is <strong>0.2 rad</strong>, in radians.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a precision tool rotates by 16 diameter parts for accurate measurements.<br>Convert this rotation from diameter parts to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 16</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 2 × Ï€ / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 16</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>16</span> × 2 × 3.14159265359 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.2667</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>16 diameter part</strong> is equal to <strong>0.2667 rad</strong>.</p>\n <p>The angle is <strong>0.2667 rad</strong>, in radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Diameter Parts</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Diameter Parts to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">diameter part</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">diameter part</span></td><td>0<span>.0166666719</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">diameter part</span></td><td>0<span>.1667</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">diameter part</span></td><td>0<span>.75</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">diameter part</span></td><td>1<span>.5</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">diameter part</span></td><td>3 <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">diameter part</span></td><td>6 <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">diameter part</span></td><td>16<span>.6667</span> <span class=\"unit\">rad</span></td></tr></table>",
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[
"degrees",
"Degrees",
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],
[
"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"
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[
"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",
"Ï€ Radians",
"Ï€ 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": "Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential."
}