Follow these steps to convert given angle from the units of Sextants to the units of π Radians.
Enter the input Sextants value in the text field.
The calculator converts the given Sextants into π Radians in realtime ⌚ using the conversion formula, and displays under the π Radians label. You do not need to click any button. If the input changes, π Radians value is re-calculated, just like that.
You may copy the resulting π 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 π Radians?
The formula to convert given angle from Sextants to π Radians is:
Angle(π Radians) = Angle(Sextants) / 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 π radians, i.e., Angle(π 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 π Radians.
Answer:
Given:
The angle in sextants is:
Angle(Sextants) = 6
Formula:
The formula to convert angle from sextants to π radians is:
Angle(π Radians) = Angle(Sextants) / 3
Substitution:
Substitute given weight Angle(Sextants) = 6 in the above formula.
Angle(π Radians) = 6 / 3
Angle(π Radians) = 2
Final Answer:
Therefore, 6 sextant is equal to 2 π radians.
The angle is 2 π radians, in π radians.
2
Consider that an astronomer divides the night sky into 2 sextants for observation. Convert this division from sextants to π Radians.
Answer:
Given:
The angle in sextants is:
Angle(Sextants) = 2
Formula:
The formula to convert angle from sextants to π radians is:
Angle(π Radians) = Angle(Sextants) / 3
Substitution:
Substitute given weight Angle(Sextants) = 2 in the above formula.
Angle(π Radians) = 2 / 3
Angle(π Radians) = 0.6667
Final Answer:
Therefore, 2 sextant is equal to 0.6667 π radians.
The angle is 0.6667 π radians, in π radians.
Sextants to π Radians Conversion Table
The following table gives some of the most used conversions from Sextants to π Radians.
Sextants (sextant)
π Radians (π radians)
0 sextant
0 π radians
1 sextant
0.3333π radians
10 sextant
3.3333π radians
45 sextant
15 π radians
90 sextant
30 π radians
180 sextant
60 π radians
360 sextant
120 π radians
1000 sextant
333.3333π radians
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.
π Radians
π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Sextants to π Radians in Angle?
The formula to convert Sextants to π Radians in Angle is:
Sextants / 3
2. Is this tool free or paid?
This Angle conversion tool, which converts Sextants to π Radians, is completely free to use.
3. How do I convert Angle from Sextants to π Radians?
To convert Angle from Sextants to π Radians, you can use the following formula:
Sextants / 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 π 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 π 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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Sextants)</sub></span> / 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>(π Radians)</sub></span> = <span>6</span> / 3</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 2</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>6 sextant</strong> is equal to <strong>2 π radians</strong>.</p>\n <p>The angle is <strong>2 π radians</strong>, in π 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 π 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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Sextants)</sub></span> / 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>(π Radians)</sub></span> = <span>2</span> / 3</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.6667</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 sextant</strong> is equal to <strong>0.6667 π radians</strong>.</p>\n <p>The angle is <strong>0.6667 π radians</strong>, in π radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Sextants</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Sextants to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Sextants (<span class=\"unit\">sextant</span>)</th><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">sextant</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">sextant</span></td><td>0<span>.3333</span> <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">sextant</span></td><td>3<span>.3333</span> <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">sextant</span></td><td>15 <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">sextant</span></td><td>30 <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">sextant</span></td><td>60 <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">sextant</span></td><td>120 <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">sextant</span></td><td>333<span>.3333</span> <span class=\"unit\">π radians</span></td></tr></table>",
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