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Gradian to Degree Converter (grad to deg)

Convert gradian (grad) to degree (deg).Unit Converter · Angle

Quick answer

1 gradian (grad) is equal to 0.9 degrees (deg). 1 degree (deg) is approximately equal to 1.111111 gradians (grad).

To convert grad to deg, multiply the value in gradians by 0.9. For example, 10 grad = 9 deg, and 100 grad = 90 deg.

From · gradian

grad

To · degree

Value in degree0.9deg
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Quick reference — gradian to degree

How to convert gradians to degrees

How many degrees are in a gradian? 1 gradian is 0.9 degrees. This free grad to deg converter and gradian to degree calculator gives the answer instantly for any value.

To convert gradian (grad) to degree (deg), multiply the value in gradians by 0.9.

deg = grad × 0.9

  1. 1

    Take the value in gradians

    For example, 25 grad.

  2. 2

    Multiply by 0.9

    25 × 0.9.

  3. 3

    Read the answer in degrees

    25 grad = 22.5 deg.

Gradian to Degree conversion table

Common values from 1 to 1,000 gradians converted to degrees.

Gradian (grad) to Degree (deg), part 1
Gradian (grad)Degree (deg)
1 grad0.9 deg
2 grad1.8 deg
3 grad2.7 deg
4 grad3.6 deg
5 grad4.5 deg
6 grad5.4 deg
7 grad6.3 deg
8 grad7.2 deg
9 grad8.1 deg
10 grad9 deg
15 grad13.5 deg
20 grad18 deg
25 grad22.5 deg
Gradian (grad) to Degree (deg), part 2
Gradian (grad)Degree (deg)
30 grad27 deg
40 grad36 deg
50 grad45 deg
60 grad54 deg
70 grad63 deg
75 grad67.5 deg
80 grad72 deg
90 grad81 deg
100 grad90 deg
250 grad225 deg
500 grad450 deg
1,000 grad900 deg

About gradians and degrees

Gradian (grad)

A gradian (grad or gon) is 1/400 of a full turn, so a right angle is 100 grad. It is used in some surveying work.

Degree (deg)

A degree (°) is 1/360 of a full turn. A right angle is 90°.

grad to deg: common questions

How many degrees are in 1 gradian?
1 gradian (grad) is equal to 0.9 degrees (deg). In short: 1 grad = 0.9 deg.
How do I convert gradians to degrees?
To convert grad to deg, multiply the value in gradians by 0.9. For example, 5 grad = 4.5 deg.
How do I convert degrees to gradians?
Use the Degree to Gradian converter, which applies the exact reverse factor.
What is 10 grad in deg, and what is 100 grad?
10 grad = 9 deg, and 100 grad = 90 deg. The table above lists more values from 1 to 1,000.
Is this grad to deg converter accurate?
Yes. It uses the exact conversion factor and shows results to as many as 8 decimal places, so you can rely on it for study, work and everyday measuring.

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Gradian to Degree

From · gradian

grad

To · degree

Value in degree0.9deg
Loading chart…

Quick reference — gradian to degree

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