Angle converter

Convert Arcminutes to Gradians

Convert Arcminutes to Gradians instantly. 1 Arcminute (′) equals 0.01852 Gradians (grad).

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Arcminutes to Gradians conversion table

Arcminutes (′)Gradians (grad)
1 ′ 0.01852 grad
2 ′ 0.03704 grad
3 ′ 0.05556 grad
5 ′ 0.09259 grad
10 ′ 0.1852 grad
20 ′ 0.3704 grad
50 ′ 0.9259 grad
100 ′ 1.8519 grad
500 ′ 9.2593 grad
1,000 ′ 18.5185 grad
Conversion 1 Arcminute = 0.01852 Gradians · multiply Arcminutes by 0.01852

About converting Arcminutes to Gradians

Arcminutes (′) and Gradians (grad) are both units of angle, so converting between them is a single multiplication: multiply your Arcminutes figure by 0.01852. Ten Arcminutes comes to 0.1852 Gradians, and a hundred works out at 1.8519 Gradians.

Rule of thumb: going from Arcminutes to Gradians divides, so the figure always shrinks — it takes about 54 Arcminutes to make a single Gradian. If your answer came out bigger, you have the conversion the wrong way round.

What is an Arcminute?

The arcminute subdivides the degree in base 60, exactly as the minute subdivides the hour — the matching names are not a coincidence but shared Babylonian ancestry. It is the traditional unit of latitude and longitude, where position is written as degrees, minutes and seconds, and that convention pays off at sea: one minute of latitude is one nautical mile, so a navigator can lift distance straight off a chart’s edge. It is also about the limit of human eyesight — a healthy eye resolves detail roughly an arcminute across, which is the standard "20/20 vision" is built around.

What is a Gradian?

The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.

To put both in perspective: the full moon is about 31 arcminutes across, while a right angle is 100 gradians.

The converter above updates as you type, and the table lists common values for quick reference. Need the opposite direction? Use the Gradians to Arcminutes converter, or browse all Angle converters.

Frequently asked questions

How many Gradians are in one Arcminute?

There are 0.01852 Gradians in one Arcminute.

How do I convert Arcminutes to Gradians?

Multiply the number of Arcminutes by 0.01852. For example, 10 Arcminutes = 0.1852 Gradians.

What is 100 Arcminutes in Gradians?

100 Arcminutes is equal to 1.8519 Gradians.

How do I convert Gradians to Arcminutes?

Multiply the Gradians value by 54 (or divide by 0.01852).

Is this Arcminutes to Gradians conversion exact?

The definition is exact — Arcminutes and Gradians are both fixed against the same base by international agreement — but the decimal shown here is rounded for readability, because the true ratio does not terminate. For engineering or scientific work, carry more decimal places than this page displays.

What is an Arcminute?

The arcminute subdivides the degree in base 60, exactly as the minute subdivides the hour — the matching names are not a coincidence but shared Babylonian ancestry. It is the traditional unit of latitude and longitude, where position is written as degrees, minutes and seconds, and that convention pays off at sea: one minute of latitude is one nautical mile, so a navigator can lift distance straight off a chart’s edge. It is also about the limit of human eyesight — a healthy eye resolves detail roughly an arcminute across, which is the standard "20/20 vision" is built around.

What is a Gradian?

The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.