Follow these steps to convert given Radians value from Radians units to Minutes units.
Enter the input Radians value in the text field.
The given Radians is converted to Minutes in realtime ⌚ using the formula, and displayed under the Minutes label.
You may copy the resulting Minutes value using the Copy button.
Formula
To convert given angle from Radians to Minutes, use the following formula.
Minutes = Radians * 10800 / π
Calculation
Calculation will be done after you enter a valid input.
Radians to Minutes Conversion Table
The following table gives some of the most used conversions from Radians to Minutes.
Radians (rad)
Minutes (')
0 rad
0 '
1 rad
3437.7468'
10 rad
34377.4677'
45 rad
154698.6047'
90 rad
309397.2094'
180 rad
618794.4187'
360 rad
1237588.8375'
1000 rad
3437746.7708'
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.
Minutes
Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.
{
"conversion": "radians-minutes",
"x_slug": "radians",
"y_slug": "minutes",
"x": "rad",
"y": "'",
"x_desc": "Radians",
"y_desc": "Minutes",
"category": "Angle",
"symbol": "m",
"formula": "x * 10800 / 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 Minutes.</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 minutes is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Minutes)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 10800 / 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>(Minutes)</sub></span> = <span>1.5</span> × 10800 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 5156.6202</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>5156.6202 '</strong>.</p>\n <p>The angle is <strong>5156.6202 '</strong>, in minutes.</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 Minutes.</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 minutes is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Minutes)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 10800 / 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>(Minutes)</sub></span> = <span>0.75</span> × 10800 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 2578.3101</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>2578.3101 '</strong>.</p>\n <p>The angle is <strong>2578.3101 '</strong>, in minutes.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Minutes</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Minutes.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Minutes (<span class=\"unit\">'</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">'</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>3437<span>.7468</span> <span class=\"unit\">'</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>34377<span>.4677</span> <span class=\"unit\">'</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>154698<span>.6047</span> <span class=\"unit\">'</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>309397<span>.2094</span> <span class=\"unit\">'</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>618794<span>.4187</span> <span class=\"unit\">'</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>1237588<span>.8375</span> <span class=\"unit\">'</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>3437746<span>.7708</span> <span class=\"unit\">'</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": "Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations."
}
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