How to use this Compass Points to Radians Converter 🤔
Follow these steps to convert given angle from the units of Compass Points to the units of Radians.
Enter the input Compass Points value in the text field.
The calculator converts the given Compass Points 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.
What is the Formula to convert Compass Points to Radians?
The formula to convert given angle from Compass Points to Radians is:
Angle(Radians) = Angle(Compass Points) × π / 16
Substitute the given value of angle in compass points, i.e., Angle(Compass Points) in the above formula and simplify the right-hand side value. The resulting value is the angle in radians, i.e., Angle(Radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a ship's navigation system shifts by 8 compass points to adjust its course. Convert this direction from compass points to Radians.
Answer:
Given:
The angle in compass points is:
Angle(Compass Points) = 8
Formula:
The formula to convert angle from compass points to radians is:
Angle(Radians) = Angle(Compass Points) × π / 16
Substitution:
Substitute given weight Angle(Compass Points) = 8 in the above formula.
Angle(Radians) = 8 × 3.14159265359 / 16
Angle(Radians) = 1.5708
Final Answer:
Therefore, 8 compass point is equal to 1.5708 rad.
The angle is 1.5708 rad, in radians.
2
Consider that a hiker adjusts their direction by 4 compass points to stay on track. Convert this direction from compass points to Radians.
Answer:
Given:
The angle in compass points is:
Angle(Compass Points) = 4
Formula:
The formula to convert angle from compass points to radians is:
Angle(Radians) = Angle(Compass Points) × π / 16
Substitution:
Substitute given weight Angle(Compass Points) = 4 in the above formula.
Angle(Radians) = 4 × 3.14159265359 / 16
Angle(Radians) = 0.7854
Final Answer:
Therefore, 4 compass point is equal to 0.7854 rad.
The angle is 0.7854 rad, in radians.
Compass Points to Radians Conversion Table
The following table gives some of the most used conversions from Compass Points to Radians.
Compass Points (compass point)
Radians (rad)
0 compass point
0 rad
1 compass point
0.1963rad
10 compass point
1.9635rad
45 compass point
8.8357rad
90 compass point
17.6715rad
180 compass point
35.3429rad
360 compass point
70.6858rad
1000 compass point
196.3495rad
Compass Points
Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions.
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 Compass Points to Radians in Angle?
The formula to convert Compass Points to Radians in Angle is:
Compass Points * π / 16
2. Is this tool free or paid?
This Angle conversion tool, which converts Compass Points to Radians, is completely free to use.
3. How do I convert Angle from Compass Points to Radians?
To convert Angle from Compass Points to Radians, you can use the following formula:
Compass Points * π / 16
For example, if you have a value in Compass Points, you substitute that value in place of Compass Points in the above formula, and solve the mathematical expression to get the equivalent value in Radians.
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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 ship's navigation system shifts by 8 compass points to adjust its course.<br>Convert this direction from compass points to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in compass points is:</p>\n <p class=\"step\"><span>Angle<sub>(Compass Points)</sub></span> = 8</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from compass points to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Compass Points)</sub></span> × π / 16</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Compass Points)</sub> = 8</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>8</span> × 3.14159265359 / 16</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 1.5708</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>8 compass point</strong> is equal to <strong>1.5708 rad</strong>.</p>\n <p>The angle is <strong>1.5708 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 hiker adjusts their direction by 4 compass points to stay on track.<br>Convert this direction from compass points to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in compass points is:</p>\n <p class=\"step\"><span>Angle<sub>(Compass Points)</sub></span> = 4</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from compass points to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Compass Points)</sub></span> × π / 16</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Compass Points)</sub> = 4</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>4</span> × 3.14159265359 / 16</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.7854</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>4 compass point</strong> is equal to <strong>0.7854 rad</strong>.</p>\n <p>The angle is <strong>0.7854 rad</strong>, in radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Compass Points</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Compass Points to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Compass Points (<span class=\"unit\">compass point</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">compass point</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">compass point</span></td><td>0<span>.1963</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">compass point</span></td><td>1<span>.9635</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">compass point</span></td><td>8<span>.8357</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">compass point</span></td><td>17<span>.6715</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">compass point</span></td><td>35<span>.3429</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">compass point</span></td><td>70<span>.6858</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">compass point</span></td><td>196<span>.3495</span> <span class=\"unit\">rad</span></td></tr></table>",
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