How to use this Radians to Binary Degrees Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Binary Degrees.
Enter the input Radians value in the text field.
The calculator converts the given Radians into Binary Degrees in realtime ⌚ using the conversion formula, and displays under the Binary Degrees label. You do not need to click any button. If the input changes, Binary Degrees value is re-calculated, just like that.
You may copy the resulting Binary Degrees 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.
What is the Formula to convert Radians to Binary Degrees?
The formula to convert given angle from Radians to Binary Degrees is:
Angle(Binary Degrees) = Angle(Radians) × 128 / π
Substitute the given value of angle in radians, i.e., Angle(Radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in binary degrees, i.e., Angle(Binary Degrees).
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 Binary Degrees.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to binary degrees is:
Angle(Binary Degrees) = Angle(Radians) × 128 / π
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(Binary Degrees) = 1.5 × 128 / 3.14159265359
Angle(Binary Degrees) = 61.1155
Final Answer:
Therefore, 1.5 rad is equal to 61.1155 °.
The angle is 61.1155 °, in binary degrees.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Binary Degrees.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to binary degrees is:
Angle(Binary Degrees) = Angle(Radians) × 128 / π
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
The following table gives some of the most used conversions from Radians to Binary Degrees.
Radians (rad)
Binary Degrees (°)
0 rad
0 °
1 rad
40.7437°
10 rad
407.4367°
45 rad
1833.4649°
90 rad
3666.9299°
180 rad
7333.8598°
360 rad
14667.7196°
1000 rad
40743.6654°
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.
Binary Degrees
Binary degrees, or 'binary angles,' are a unit of angular measurement used in digital systems where angles are represented using binary numbers. This system is particularly useful in computer graphics, robotics, and digital signal processing, where binary calculations are more efficient than traditional degrees.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Binary Degrees in Angle?
The formula to convert Radians to Binary Degrees in Angle is:
Radians * 128 / π
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Binary Degrees, is completely free to use.
3. How do I convert Angle from Radians to Binary Degrees?
To convert Angle from Radians to Binary Degrees, you can use the following formula:
Radians * 128 / 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 Binary Degrees.
{
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"formula": "x * 128 / π",
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"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 Binary Degrees.</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 binary degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 128 / 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>(Binary Degrees)</sub></span> = <span>1.5</span> × 128 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 61.1155</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>61.1155 °</strong>.</p>\n <p>The angle is <strong>61.1155 °</strong>, in binary degrees.</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 Binary Degrees.</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 binary degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 128 / 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>(Binary Degrees)</sub></span> = <span>0.75</span> × 128 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 30.5577</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>30.5577 °</strong>.</p>\n <p>The angle is <strong>30.5577 °</strong>, in binary degrees.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Binary Degrees</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Binary Degrees.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Binary Degrees (<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>40<span>.7437</span> <span class=\"unit\">°</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>407<span>.4367</span> <span class=\"unit\">°</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>1833<span>.4649</span> <span class=\"unit\">°</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>3666<span>.9299</span> <span class=\"unit\">°</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>7333<span>.8598</span> <span class=\"unit\">°</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>14667<span>.7196</span> <span class=\"unit\">°</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>40743<span>.6654</span> <span class=\"unit\">°</span></td></tr></table>",
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