Follow these steps to convert given Minutes value from Minutes units to π Radians units.
Enter the input Minutes value in the text field.
The given Minutes is converted to π Radians in realtime ⌚ using the formula, and displayed under the π Radians label.
You may copy the resulting π Radians value using the Copy button.
Formula
To convert given angle from Minutes to π Radians, use the following formula.
π Radians = Minutes / 10800
Calculation
Calculation will be done after you enter a valid input.
Minutes to π Radians Conversion Table
The following table gives some of the most used conversions from Minutes to π Radians.
Minutes (')
π Radians (π radians)
0 '
0 π radians
1 '
0.00009259259π radians
10 '
0.00092592593π radians
45 '
0.00416666667π radians
90 '
0.00833333333π radians
180 '
0.01666666667π radians
360 '
0.03333333333π radians
1000 '
0.09259259259π radians
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.
π Radians
π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.
{
"conversion": "minutes-pi_radians",
"x_slug": "minutes",
"y_slug": "pi_radians",
"x": "'",
"y": "π radians",
"x_desc": "Minutes",
"y_desc": "π Radians",
"category": "Angle",
"symbol": "m",
"formula": "x / 10800",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star.<br>Convert this angle from minutes to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 15</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> / 10800</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 15</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>15</span> / 10800</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.00138888889</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>15 '</strong> is equal to <strong>0.00138888889 π radians</strong>.</p>\n <p>The angle is <strong>0.00138888889 π radians</strong>, in π 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 surveyor sets the angle of a theodolite to 10 minutes for precise measurement.<br>Convert this angle from minutes to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 10</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> / 10800</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 10</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>10</span> / 10800</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.00092592593</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>10 '</strong> is equal to <strong>0.00092592593 π radians</strong>.</p>\n <p>The angle is <strong>0.00092592593 π radians</strong>, in π radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Minutes</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Minutes to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Minutes (<span class=\"unit\">'</span>)</th><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">'</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">'</span></td><td>0<span>.00009259259</span> <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">'</span></td><td>0<span>.00092592593</span> <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">'</span></td><td>0<span>.00416666667</span> <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">'</span></td><td>0<span>.00833333333</span> <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">'</span></td><td>0<span>.01666666667</span> <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">'</span></td><td>0<span>.03333333333</span> <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">'</span></td><td>0<span>.09259259259</span> <span class=\"unit\">π radians</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",
"π Radians",
"π radians"
],
[
"zam",
"Zam",
"zam"
]
],
"x_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.",
"y_long_desc": "π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions."
}
ConvertOnline