How to use this Radians to Diameter Parts Converter 🤔
Follow these steps to convert given Radians value from Radians units to Diameter Parts units.
Enter the input Radians value in the text field.
The given Radians is converted to Diameter Parts in realtime ⌚ using the formula, and displayed under the Diameter Parts label.
You may copy the resulting Diameter Parts value using the Copy button.
Formula
To convert given angle from Radians to Diameter Parts, use the following formula.
Diameter Parts = Radians * 376.991 / (2 * π)
Calculation
Calculation will be done after you enter a valid input.
Radians to Diameter Parts Conversion Table
The following table gives some of the most used conversions from Radians to Diameter Parts.
Radians (rad)
Diameter Parts (diameter part)
0 rad
0 diameter part
1 rad
60 diameter part
10 rad
599.9998diameter part
45 rad
2699.9992diameter part
90 rad
5399.9983diameter part
180 rad
10799.9966diameter part
360 rad
21599.9932diameter part
1000 rad
59999.9812diameter part
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.
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.
{
"conversion": "radians-diameter_part",
"x_slug": "radians",
"y_slug": "diameter_part",
"x": "rad",
"y": "diameter part",
"x_desc": "Radians",
"y_desc": "Diameter Parts",
"category": "Angle",
"symbol": "m",
"formula": "x * 376.991 / (2 * π)",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a robotic arm rotates by 1.5 radians to position an object accurately.<br>Convert this angle from radians to Diameter Parts.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 1.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to diameter parts is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 376.991 / (2 × Ï€)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 1.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>1.5</span> × 376.991 / (2 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 90</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>90 diameter part</strong>.</p>\n <p>The angle is <strong>90 diameter part</strong>, in diameter parts.</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 satellite dish adjusts by 0.75 radians to align with a signal.<br>Convert this angle from radians to Diameter Parts.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.75</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to diameter parts is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 376.991 / (2 × Ï€)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 0.75</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>0.75</span> × 376.991 / (2 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 45</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>45 diameter part</strong>.</p>\n <p>The angle is <strong>45 diameter part</strong>, in diameter parts.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Diameter Parts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Diameter Parts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">diameter part</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>60 <span class=\"unit\">diameter part</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>599<span>.9998</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>2699<span>.9992</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>5399<span>.9983</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>10799<span>.9966</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>21599<span>.9932</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>59999<span>.9812</span> <span class=\"unit\">diameter part</span></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",
"Ï€ Radians",
"Ï€ radians"
],
[
"zam",
"Zam",
"zam"
]
],
"x_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.",
"y_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."
}