Follow these steps to convert given angle from the units of Gradians to the units of Degrees.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians into Degrees in realtime ⌚ using the conversion formula, and displays under the Degrees label. You do not need to click any button. If the input changes, Degrees value is re-calculated, just like that.
You may copy the resulting Degrees 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 Gradians to Degrees?
The formula to convert given angle from Gradians to Degrees is:
Angle(Degrees) = Angle(Gradians) × 9 / 10
Substitute the given value of angle in gradians, i.e., Angle(Gradians) in the above formula and simplify the right-hand side value. The resulting value is the angle in degrees, i.e., Angle(Degrees).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Degrees.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to degrees is:
Angle(Degrees) = Angle(Gradians) × 9 / 10
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Degrees) = 100 × 9 / 10
Angle(Degrees) = 90
Final Answer:
Therefore, 100 gon is equal to 90 °.
The angle is 90 °, in degrees.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Degrees.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to degrees is:
Angle(Degrees) = Angle(Gradians) × 9 / 10
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Degrees) = 90 × 9 / 10
Angle(Degrees) = 81
Final Answer:
Therefore, 90 gon is equal to 81 °.
The angle is 81 °, in degrees.
Gradians to Degrees Conversion Table
The following table gives some of the most used conversions from Gradians to Degrees.
Gradians (gon)
Degrees (°)
0 gon
0 °
1 gon
0.9°
10 gon
9 °
45 gon
40.5°
90 gon
81 °
180 gon
162 °
360 gon
324 °
1000 gon
900 °
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.
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.
Frequently Asked Questions (FAQs)
1. How do I convert gradians to degrees?
To convert gradians to degrees, multiply the number of gradians by 0.9, since one gradian equals 0.9 degrees. For example, 200 gradians multiplied by 0.9 equals 180 degrees.
2. What is the formula for converting gradians to degrees?
The formula is:
\( \text{degrees} = \text{gradians} \times 0.9 \).
3. How many degrees are in a gradian?
There are 0.9 degrees in one gradian.
4. Is 100 gradians equal to 90 degrees?
Yes, 100 gradians is equal to 90 degrees because 100 × 0.9 = 90.
5. How do I convert degrees to gradians?
To convert degrees to gradians, divide the number of degrees by 0.9. For example, 180 degrees divided by 0.9 equals 200 gradians.
6. Why do we multiply by 0.9 to convert gradians to degrees?
Because a full circle is 400 gradians or 360 degrees, so each gradian is equivalent to 0.9 degrees (360° ÷ 400 = 0.9° per gradian).
7. How many degrees are there in 50 gradians?
50 gradians multiplied by 0.9 equals 45 degrees.
8. What is the difference between degrees and gradians?
Degrees and gradians are both units for measuring angles. A full circle is 360 degrees or 400 gradians. Therefore, gradians divide a circle into 400 equal parts, making calculations involving right angles and percentages simpler.
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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 precision engineering tool adjusts by 100 gradians.<br>Convert this angle from gradians to Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> × 9 / 10</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 100</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = <span>100</span> × 9 / 10</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 90</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>90 °</strong>.</p>\n <p>The angle is <strong>90 °</strong>, in degrees.</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 civil engineer designs a slope with an angle of 90 gradians.<br>Convert this angle from gradians to Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 90</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> × 9 / 10</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 90</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = <span>90</span> × 9 / 10</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 81</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>81 °</strong>.</p>\n <p>The angle is <strong>81 °</strong>, in degrees.</p>\n </div>\n ",
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