Follow these steps to convert given angle from the units of Degrees to the units of Gradians.
Enter the input Degrees value in the text field.
The calculator converts the given Degrees into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians 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 Degrees to Gradians?
The formula to convert given angle from Degrees to Gradians is:
Angle(Gradians) = Angle(Degrees) × 10 / 9
Substitute the given value of angle in degrees, i.e., Angle(Degrees) in the above formula and simplify the right-hand side value. The resulting value is the angle in gradians, i.e., Angle(Gradians).
Calculation
The following is a step by step calculation to convert given 1 Degrees to Gradians.
Formula:
The formula to convert Angle from Degrees to Gradians is:
Angle(Gradians) = Angle(Degrees) × 10 / 9
Problem:
We need to convert given angle of 1 degrees to gradians.
Given:
We are given angle in Degrees.
Angle(Degrees) = 1
Substitution:
Substituting Angle(Degrees) = 1 in the conversion formula.
Angle(Gradians) = Angle(Degrees) × 10 / 9
Angle(Gradians) = 1 × 10 / 9
Simplification:
Simplify the right-hand side value of the equation.
Angle(Gradians) = 1.11111111111
Conclusion:
Therefore, angle of 1 degrees is equal to 1.11111111111 gradians.
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 Gradians.
Answer:
Given:
The angle of solar panel in degrees is:
Angle(Degrees) = 45
Formula:
The formula to convert angle from degrees to gradians is:
Angle(Gradians) = Angle(Degrees) × 10 / 9
Substitution:
Substitute given weight of solar panel, Angle(Degrees) = 45 in the above formula.
Angle(Gradians) = 45 × 10 / 9
Angle(Gradians) = 50
Final Answer:
Therefore, 45 ° is equal to 50 gon.
The angle of solar panel is 50 gon, in gradians.
2
Consider that a camera tripod allows for a 30-degree adjustment to capture the perfect shot. Convert this angle from degrees to Gradians.
Answer:
Given:
The angle of camera tripod in degrees is:
Angle(Degrees) = 30
Formula:
The formula to convert angle from degrees to gradians is:
Angle(Gradians) = Angle(Degrees) × 10 / 9
Substitution:
Substitute given weight of camera tripod, Angle(Degrees) = 30 in the above formula.
Angle(Gradians) = 30 × 10 / 9
Angle(Gradians) = 33.3333
Final Answer:
Therefore, 30 ° is equal to 33.3333 gon.
The angle of camera tripod is 33.3333 gon, in gradians.
Degrees to Gradians Conversion Table
The following table gives some of the most used conversions from Degrees to Gradians.
Degrees (°)
Gradians (gon)
0 °
0 gon
1 °
1.1111gon
10 °
11.1111gon
45 °
50 gon
90 °
100 gon
180 °
200 gon
360 °
400 gon
1000 °
1111.1111gon
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.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Degrees to Gradians in Angle?
The formula to convert Degrees to Gradians in Angle is:
Degrees * 10 / 9
2. Is this tool free or paid?
This Angle conversion tool, which converts Degrees to Gradians, is completely free to use.
3. How do I convert Angle from Degrees to Gradians?
To convert Angle from Degrees to Gradians, you can use the following formula:
Degrees * 10 / 9
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 Gradians.
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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 solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 10 / 9</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>(Gradians)</sub></span> = <span>45</span> × 10 / 9</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 50</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>45 °</strong> is equal to <strong>50 gon</strong>.</p>\n <p>The angle of solar panel is <strong>50 gon</strong>, in gradians.</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 Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 10 / 9</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>(Gradians)</sub></span> = <span>30</span> × 10 / 9</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 33.3333</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>33.3333 gon</strong>.</p>\n <p>The angle of camera tripod is <strong>33.3333 gon</strong>, in gradians.</p>\n </div>\n ",
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