How to use this Radians to Compass Points Converter 🤔
Follow these steps to convert given Radians value from Radians units to Compass Points units.
Enter the input Radians value in the text field.
The given Radians is converted to Compass Points in realtime ⌚ using the formula, and displayed under the Compass Points label.
You may copy the resulting Compass Points value using the Copy button.
Formula
To convert given angle from Radians to Compass Points, use the following formula.
Compass Points = Radians * 16 / π
Calculation
Calculation will be done after you enter a valid input.
Radians to Compass Points Conversion Table
The following table gives some of the most used conversions from Radians to Compass Points.
Radians (rad)
Compass Points (compass point)
0 rad
0 compass point
1 rad
5.093compass point
10 rad
50.9296compass point
45 rad
229.1831compass point
90 rad
458.3662compass point
180 rad
916.7325compass point
360 rad
1833.4649compass point
1000 rad
5092.9582compass point
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.
Compass Points
Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions.
{
"conversion": "radians-compass_points",
"x_slug": "radians",
"y_slug": "compass_points",
"x": "rad",
"y": "compass point",
"x_desc": "Radians",
"y_desc": "Compass Points",
"category": "Angle",
"symbol": "m",
"formula": "x * 16 / 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 Compass Points.</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 compass points is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Compass Points)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 16 / 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>(Compass Points)</sub></span> = <span>1.5</span> × 16 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Compass Points)</sub></span> = 7.6394</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>7.6394 compass point</strong>.</p>\n <p>The angle is <strong>7.6394 compass point</strong>, in compass points.</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 Compass Points.</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 compass points is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Compass Points)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 16 / 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>(Compass Points)</sub></span> = <span>0.75</span> × 16 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Compass Points)</sub></span> = 3.8197</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>3.8197 compass point</strong>.</p>\n <p>The angle is <strong>3.8197 compass point</strong>, in compass points.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Compass Points</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Compass Points.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Compass Points (<span class=\"unit\">compass point</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">compass point</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>5<span>.093</span> <span class=\"unit\">compass point</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>50<span>.9296</span> <span class=\"unit\">compass point</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>229<span>.1831</span> <span class=\"unit\">compass point</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>458<span>.3662</span> <span class=\"unit\">compass point</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>916<span>.7325</span> <span class=\"unit\">compass point</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>1833<span>.4649</span> <span class=\"unit\">compass point</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>5092<span>.9582</span> <span class=\"unit\">compass point</span></td></tr></table>",
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[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
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[
"minutes",
"Minutes",
"'"
],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
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[
"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": "Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions."
}