Follow these steps to convert given angle from the units of Quadrants to the units of Radians.
Enter the input Quadrants value in the text field.
The calculator converts the given Quadrants 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 Quadrants to Radians?
The formula to convert given angle from Quadrants to Radians is:
Angle(Radians) = Angle(Quadrants) × π / 2
Substitute the given value of angle in quadrants, i.e., Angle(Quadrants) 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 map is divided into 4 quadrants for detailed navigation. Convert this section from quadrants to Radians.
Answer:
Given:
The angle in quadrants is:
Angle(Quadrants) = 1
Formula:
The formula to convert angle from quadrants to radians is:
Angle(Radians) = Angle(Quadrants) × π / 2
Substitution:
Substitute given weight Angle(Quadrants) = 1 in the above formula.
Angle(Radians) = 1 × 3.14159265359 / 2
Angle(Radians) = 1.5708
Final Answer:
Therefore, 1 quadrant is equal to 1.5708 rad.
The angle is 1.5708 rad, in radians.
2
Consider that a pilot uses 2 quadrants to determine the aircraft's position. Convert this section from quadrants to Radians.
Answer:
Given:
The angle in quadrants is:
Angle(Quadrants) = 2
Formula:
The formula to convert angle from quadrants to radians is:
Angle(Radians) = Angle(Quadrants) × π / 2
Substitution:
Substitute given weight Angle(Quadrants) = 2 in the above formula.
Angle(Radians) = 2 × 3.14159265359 / 2
Angle(Radians) = 3.1416
Final Answer:
Therefore, 2 quadrant is equal to 3.1416 rad.
The angle is 3.1416 rad, in radians.
Quadrants to Radians Conversion Table
The following table gives some of the most used conversions from Quadrants to Radians.
Quadrants (quadrant)
Radians (rad)
0 quadrant
0 rad
1 quadrant
1.5708rad
10 quadrant
15.708rad
45 quadrant
70.6858rad
90 quadrant
141.3717rad
180 quadrant
282.7433rad
360 quadrant
565.4867rad
1000 quadrant
1570.7963rad
Quadrants
Quadrants are a unit of angular measurement representing one-quarter of a full circle, equivalent to 90 degrees or π/2 radians. Quadrants are commonly used in geometry, astronomy, and navigation to describe and analyze positions, angles, and directional orientations within a defined space.
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 Quadrants to Radians in Angle?
The formula to convert Quadrants to Radians in Angle is:
Quadrants * π / 2
2. Is this tool free or paid?
This Angle conversion tool, which converts Quadrants to Radians, is completely free to use.
3. How do I convert Angle from Quadrants to Radians?
To convert Angle from Quadrants to Radians, you can use the following formula:
Quadrants * π / 2
For example, if you have a value in Quadrants, you substitute that value in place of Quadrants in the above formula, and solve the mathematical expression to get the equivalent value in Radians.
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"y_desc": "Radians",
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"symbol": "m",
"formula": "x * π / 2",
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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 map is divided into 4 quadrants for detailed navigation.<br>Convert this section from quadrants to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in quadrants is:</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 1</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from quadrants to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Quadrants)</sub></span> × π / 2</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Quadrants)</sub> = 1</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>1</span> × 3.14159265359 / 2</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>1 quadrant</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 pilot uses 2 quadrants to determine the aircraft's position.<br>Convert this section from quadrants to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in quadrants is:</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from quadrants to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Quadrants)</sub></span> × π / 2</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Quadrants)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>2</span> × 3.14159265359 / 2</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 3.1416</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 quadrant</strong> is equal to <strong>3.1416 rad</strong>.</p>\n <p>The angle is <strong>3.1416 rad</strong>, in radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Quadrants</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Quadrants to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Quadrants (<span class=\"unit\">quadrant</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">quadrant</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">quadrant</span></td><td>1<span>.5708</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">quadrant</span></td><td>15<span>.708</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">quadrant</span></td><td>70<span>.6858</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">quadrant</span></td><td>141<span>.3717</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">quadrant</span></td><td>282<span>.7433</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">quadrant</span></td><td>565<span>.4867</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">quadrant</span></td><td>1570<span>.7963</span> <span class=\"unit\">rad</span></td></tr></table>",
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