Follow these steps to convert given angle from the units of Sextants to the units of Radians.
Enter the input Sextants value in the text field.
The calculator converts the given Sextants 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 Sextants to Radians?
The formula to convert given angle from Sextants to Radians is:
Angle(Radians) = Angle(Sextants) × π / 3
Substitute the given value of angle in sextants, i.e., Angle(Sextants) 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 an old navigation tool, the sextant, measures angles in 6 sextants. Convert this measurement from sextants to Radians.
Answer:
Given:
The angle in sextants is:
Angle(Sextants) = 6
Formula:
The formula to convert angle from sextants to radians is:
Angle(Radians) = Angle(Sextants) × π / 3
Substitution:
Substitute given weight Angle(Sextants) = 6 in the above formula.
Angle(Radians) = 6 × 3.14159265359 / 3
Angle(Radians) = 6.2832
Final Answer:
Therefore, 6 sextant is equal to 6.2832 rad.
The angle is 6.2832 rad, in radians.
2
Consider that an astronomer divides the night sky into 2 sextants for observation. Convert this division from sextants to Radians.
Answer:
Given:
The angle in sextants is:
Angle(Sextants) = 2
Formula:
The formula to convert angle from sextants to radians is:
Angle(Radians) = Angle(Sextants) × π / 3
Substitution:
Substitute given weight Angle(Sextants) = 2 in the above formula.
Angle(Radians) = 2 × 3.14159265359 / 3
Angle(Radians) = 2.0944
Final Answer:
Therefore, 2 sextant is equal to 2.0944 rad.
The angle is 2.0944 rad, in radians.
Sextants to Radians Conversion Table
The following table gives some of the most used conversions from Sextants to Radians.
Sextants (sextant)
Radians (rad)
0 sextant
0 rad
1 sextant
1.0472rad
10 sextant
10.472rad
45 sextant
47.1239rad
90 sextant
94.2478rad
180 sextant
188.4956rad
360 sextant
376.9911rad
1000 sextant
1047.1976rad
Sextants
Sextants are a unit of angular measurement used primarily in navigation and astronomy, representing one-sixth of a full circle, or 60 degrees. The sextant instrument, named after this unit, is used to measure the angle between two visible objects, such as a star and the horizon, enabling precise determination of latitude and longitude at sea.
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 Sextants to Radians in Angle?
The formula to convert Sextants to Radians in Angle is:
Sextants * π / 3
2. Is this tool free or paid?
This Angle conversion tool, which converts Sextants to Radians, is completely free to use.
3. How do I convert Angle from Sextants to Radians?
To convert Angle from Sextants to Radians, you can use the following formula:
Sextants * π / 3
For example, if you have a value in Sextants, you substitute that value in place of Sextants 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 an old navigation tool, the sextant, measures angles in 6 sextants.<br>Convert this measurement from sextants to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in sextants is:</p>\n <p class=\"step\"><span>Angle<sub>(Sextants)</sub></span> = 6</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from sextants to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Sextants)</sub></span> × π / 3</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Sextants)</sub> = 6</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>6</span> × 3.14159265359 / 3</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 6.2832</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>6 sextant</strong> is equal to <strong>6.2832 rad</strong>.</p>\n <p>The angle is <strong>6.2832 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 an astronomer divides the night sky into 2 sextants for observation.<br>Convert this division from sextants to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in sextants is:</p>\n <p class=\"step\"><span>Angle<sub>(Sextants)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from sextants to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Sextants)</sub></span> × π / 3</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Sextants)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>2</span> × 3.14159265359 / 3</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 2.0944</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 sextant</strong> is equal to <strong>2.0944 rad</strong>.</p>\n <p>The angle is <strong>2.0944 rad</strong>, in radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Sextants</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Sextants to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Sextants (<span class=\"unit\">sextant</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">sextant</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">sextant</span></td><td>1<span>.0472</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">sextant</span></td><td>10<span>.472</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">sextant</span></td><td>47<span>.1239</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">sextant</span></td><td>94<span>.2478</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">sextant</span></td><td>188<span>.4956</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">sextant</span></td><td>376<span>.9911</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">sextant</span></td><td>1047<span>.1976</span> <span class=\"unit\">rad</span></td></tr></table>",
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