Degrees to Radians Converter
⇅ Switch toRadians to Degrees ConverterHow to use this Degrees to Radians Converter 🤔
Follow these steps to convert given angle from the units of Degrees to the units of Radians.
- Enter the input Degrees value in the text field.
- The calculator converts the given Degrees 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.
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.
Convert this angle from degrees to Radians.
Answer:
Given:
The angle of solar panel in degrees is:
Angle(Degrees) = 45
Formula:
The formula to convert angle from degrees to radians is:
Angle(Radians) = Angle(Degrees) × π / 180
Substitution:
Substitute given weight of solar panel, Angle(Degrees) = 45 in the above formula.
Angle(Radians) = 45 × 3.14159265359 / 180
Angle(Radians) = 0.7854
Final Answer:
Therefore, 45 ° is equal to 0.7854 rad.
The angle of solar panel is 0.7854 rad, in radians.
2
Consider that a camera tripod allows for a 30-degree adjustment to capture the perfect shot.
Convert this angle from degrees to Radians.
Answer:
Given:
The angle of camera tripod in degrees is:
Angle(Degrees) = 30
Formula:
The formula to convert angle from degrees to radians is:
Angle(Radians) = Angle(Degrees) × π / 180
Substitution:
Substitute given weight of camera tripod, Angle(Degrees) = 30 in the above formula.
Angle(Radians) = 30 × 3.14159265359 / 180
Angle(Radians) = 0.5236
Final Answer:
Therefore, 30 ° is equal to 0.5236 rad.
The angle of camera tripod is 0.5236 rad, in radians.
Degrees to Radians Conversion Table
The following table gives some of the most used conversions from Degrees to Radians.
| Degrees (°) | Radians (rad) |
|---|
|
| 0 ° | 0 rad |
| 1 ° | 0.01745329252 rad |
| 10 ° | 0.1745 rad |
| 45 ° | 0.7854 rad |
| 90 ° | 1.5708 rad |
| 180 ° | 3.1416 rad |
| 360 ° | 6.2832 rad |
| 1000 ° | 17.4533 rad |
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
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 Degrees to Radians in Angle?
The formula to convert Degrees to Radians in Angle is:
Degrees * π / 180
2. Is this tool free or paid?
This Angle conversion tool, which converts Degrees to Radians, is completely free to use.
3. How do I convert Angle from Degrees to Radians?
To convert Angle from Degrees to Radians, you can use the following formula:
Degrees * π / 180
For example, if you have a value in Degrees, you substitute that value in place of Degrees in the above formula, and solve the mathematical expression to get the equivalent value in Radians.
{
"conversion": "degrees-radians",
"x_slug": "degrees",
"y_slug": "radians",
"x": "°",
"y": "rad",
"x_desc": "Degrees",
"y_desc": "Radians",
"category": "Angle",
"symbol": "m",
"formula": "x * π / 180",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of solar panel in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 45</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × π / 180</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of solar panel, <strong>Angle<sub>(Degrees)</sub> = 45</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>45</span> × 3.14159265359 / 180</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>45 °</strong> is equal to <strong>0.7854 rad</strong>.</p>\n <p>The angle of solar panel is <strong>0.7854 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 camera tripod allows for a 30-degree adjustment to capture the perfect shot.<br>Convert this angle from degrees to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of camera tripod in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × π / 180</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of camera tripod, <strong>Angle<sub>(Degrees)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = <span>30</span> × 3.14159265359 / 180</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.5236</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>0.5236 rad</strong>.</p>\n <p>The angle of camera tripod is <strong>0.5236 rad</strong>, in radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Degrees</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Degrees to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>0<span>.01745329252</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>0<span>.1745</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>0<span>.7854</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>1<span>.5708</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>3<span>.1416</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>6<span>.2832</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>17<span>.4533</span> <span class=\"unit\">rad</span></td></tr></table>",
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