Minutes to Radians Converter
⇅ Switch toRadians to Minutes ConverterHow to use this Minutes to Radians Converter 🤔
Follow these steps to convert given angle from the units of Minutes to the units of Radians.
- Enter the input Minutes value in the text field.
- The calculator converts the given Minutes into Radians in realtime ⌚ using the conversion formula, and displays under the Radians label. You do not need to click any button. If the input changes, Radians value is re-calculated, just like that.
- You may copy the resulting Radians value using the Copy button.
- To view a detailed step by step calculation of the conversion, click on the View Calculation button.
- You can also reset the input by clicking on Reset button present below the input field.
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star.
Convert this angle from minutes to Radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 15
Formula:
The formula to convert angle from minutes to radians is:
Angle(Radians) = Angle(Minutes) × π / 10800
Substitution:
Substitute given weight Angle(Minutes) = 15 in the above formula.
Angle(Radians) = 15 × 3.14159265359 / 10800
Angle(Radians) = 0.00436332313
Final Answer:
Therefore, 15 ' is equal to 0.00436332313 rad.
The angle is 0.00436332313 rad, in radians.
2
Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement.
Convert this angle from minutes to Radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 10
Formula:
The formula to convert angle from minutes to radians is:
Angle(Radians) = Angle(Minutes) × π / 10800
Substitution:
Substitute given weight Angle(Minutes) = 10 in the above formula.
Angle(Radians) = 10 × 3.14159265359 / 10800
Angle(Radians) = 0.00290888209
Final Answer:
Therefore, 10 ' is equal to 0.00290888209 rad.
The angle is 0.00290888209 rad, in radians.
Minutes to Radians Conversion Table
The following table gives some of the most used conversions from Minutes to Radians.
Minutes (') | Radians (rad) |
---|
|
0 ' | 0 rad |
1 ' | 0.00029088821 rad |
10 ' | 0.00290888209 rad |
45 ' | 0.01308996939 rad |
90 ' | 0.02617993878 rad |
180 ' | 0.05235987756 rad |
360 ' | 0.1047 rad |
1000 ' | 0.2909 rad |
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Minutes to Radians in Angle?
The formula to convert Minutes to Radians in Angle is:
Minutes * π / 10800
2. Is this tool free or paid?
This Angle conversion tool, which converts Minutes to Radians, is completely free to use.
3. How do I convert Angle from Minutes to Radians?
To convert Angle from Minutes to Radians, you can use the following formula:
Minutes * π / 10800
For example, if you have a value in Minutes, you substitute that value in place of Minutes in the above formula, and solve the mathematical expression to get the equivalent value in Radians.
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"conversion": "minutes-radians",
"x_slug": "minutes",
"y_slug": "radians",
"x": "'",
"y": "rad",
"x_desc": "Minutes",
"y_desc": "Radians",
"category": "Angle",
"symbol": "m",
"formula": "x * π / 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 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 radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> × π / 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>(Radians)</sub></span> = <span>15</span> × 3.14159265359 / 10800</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.00436332313</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>15 '</strong> is equal to <strong>0.00436332313 rad</strong>.</p>\n <p>The angle is <strong>0.00436332313 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 surveyor sets the angle of a theodolite to 10 minutes for precise measurement.<br>Convert this angle from minutes to 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 radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> × π / 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>(Radians)</sub></span> = <span>10</span> × 3.14159265359 / 10800</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.00290888209</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>10 '</strong> is equal to <strong>0.00290888209 rad</strong>.</p>\n <p>The angle is <strong>0.00290888209 rad</strong>, in radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Minutes</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Minutes to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Minutes (<span class=\"unit\">'</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">'</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">'</span></td><td>0<span>.00029088821</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">'</span></td><td>0<span>.00290888209</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">'</span></td><td>0<span>.01308996939</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">'</span></td><td>0<span>.02617993878</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">'</span></td><td>0<span>.05235987756</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">'</span></td><td>0<span>.1047</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">'</span></td><td>0<span>.2909</span> <span class=\"unit\">rad</span></td></tr></table>",
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"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": "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."
}