Radians To Arcminutes Conversion


1 rad = 3,437.74687319733 arcmin

Want to convert from arcminutes to radians instead?

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How to convert radians to arcminutes (rad to arcmin)

The formula for converting radians to arcminutes is: arcmin = rad × 3437.74687319733. To calculate the radian value in arcminutes first substitute the radian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radian in arcminutes we follow these steps:

arcmin = rad × 3437.74687319733

arcmin = 1 × 3437.74687319733

arcmin = 3437.74687319733

In other words, 1 radian is equal to 3437.74687319733 arcminutes.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 radians to arcminutes is:

  1. Understand the conversion formula: arcmin = rad × 3437.74687319733
  2. Substitute the required value. In this case we substitute 6 for rad so the formula becomes: arcmin = 6 × 3437.74687319733
  3. Calculate the result using the provided values. In our example the result is: 6 × 3437.74687319733 = 20626.48123918398 arcmin

In summary, 6 radians is equal to 20626.48123918398 arcminutes.

Converting arcminutes to radians

In order to convert the other way around i.e. arcminutes to radians, you would use the following formula: rad = arcmin × 0.0002908882. To convert arcminutes to radians first substitute the arcminute value into the above formula, and then execute the calculation. If we wanted to calculate 1 arcminute in radians we follow these steps:

rad = arcmin × 0.0002908882

rad = 1 × 0.0002908882

rad = 0.0002908882

Or in other words, 1 arcminute is equal to 0.0002908882 radians.

Conversion Unit Definitions

What is a Radian?

A radian is a unit of angular measure that is used to quantify the size of an angle, particularly in trigonometry and calculus. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
To better understand this definition, it's important to note that a circle has a circumference of 2π times the radius, where π is the mathematical constant pi (approximately 3.14159). Therefore, an angle of one radian is subtended by an arc that is equal in length to the radius of the circle, which is one unit in length.
When measuring angles using radians, angles are usually denoted using the radian symbol (rad), which is often omitted for simplicity. For example, an angle of 2 radians would be written as 2 rad.

What is a Arcminute?

An arcminute (or minute) is a unit of angular measurement that is often used as a subdivision of a degree. One degree is equal to 60 minutes.
To better understand this definition, it's important to note that a circle is divided into 360 degrees. Each degree is further divided into 60 minutes. Therefore, one minute is equal to 1/60th of a degree or approximately 0.01745 degrees.
Minutes are commonly used in applications where angles need to be measured with a high degree of precision, such as astronomy, navigation, and surveying. They are particularly useful when measuring small angles, such as the apparent diameter of celestial bodies or the deviation of a building from a true vertical line.

Radians To Arcminutes Conversion Table

Below is a lookup table showing common radians to arcminutes conversion values.

Radian (rad)Arcminute (')
1 rad3437.74687319733 arcmin
2 rad6875.49374639466 arcmin
3 rad10313.24061959199 arcmin
4 rad13750.98749278932 arcmin
5 rad17188.73436598665 arcmin
6 rad20626.48123918398 arcmin
7 rad24064.22811238131 arcmin
8 rad27501.97498557864 arcmin
9 rad30939.72185877597 arcmin
10 rad34377.4687319733 arcmin
11 rad37815.21560517063 arcmin
12 rad41252.96247836796 arcmin
13 rad44690.70935156529 arcmin

Other Common Radian Conversions

Below is a table of common conversions from radians to other angle units.

1 radian in degrees57.2957795785523 °
1 radian in gradians63.6619771068602 grad
1 radian in revolutions0.1591549431 rev
1 radian in arcseconds206264.80625 arcsec
1 radian in turns0.1591549431 tr