Radians to Minutes Converter
⇅ Switch toMinutes to Radians ConverterHow to use this Radians to Minutes Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Minutes.
- Enter the input Radians value in the text field.
- The calculator converts the given Radians into Minutes in realtime ⌚ using the conversion formula, and displays under the Minutes label. You do not need to click any button. If the input changes, Minutes value is re-calculated, just like that.
- You may copy the resulting Minutes 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 a robotic arm rotates by 1.5 radians to position an object accurately.
Convert this angle from radians to Minutes.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to minutes is:
Angle(Minutes) = Angle(Radians) × 10800 / π
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(Minutes) = 1.5 × 10800 / 3.14159265359
Angle(Minutes) = 5156.6202
Final Answer:
Therefore, 1.5 rad is equal to 5156.6202 '.
The angle is 5156.6202 ', in minutes.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal.
Convert this angle from radians to Minutes.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to minutes is:
Angle(Minutes) = Angle(Radians) × 10800 / π
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
Angle(Minutes) = 0.75 × 10800 / 3.14159265359
Angle(Minutes) = 2578.3101
Final Answer:
Therefore, 0.75 rad is equal to 2578.3101 '.
The angle is 2578.3101 ', in minutes.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Minutes in Angle?
The formula to convert Radians to Minutes in Angle is:
Radians * 10800 / π
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Minutes, is completely free to use.
3. How do I convert Angle from Radians to Minutes?
To convert Angle from Radians to Minutes, you can use the following formula:
Radians * 10800 / π
For example, if you have a value in Radians, you substitute that value in place of Radians in the above formula, and solve the mathematical expression to get the equivalent value in Minutes.
{
"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 / π</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 / π</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 ",
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"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>",
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