Radians to Milliradians (rad to mrad)

Radians to Milliradians (rad to mrad) conversion calculator

Milliradians to Radians (Swap units)

1rad = 1000Mil

Note: You can increase or decrease the accuracy of this answer by selecting the number of significant figures required from the options above the result.

Radians to Milliradians conversion formula

Milliradians = Radians * 1000

Radians to Milliradians calculation

Milliradians = Radians * 1000

Milliradians = 1 * 1000

Milliradians = 1000

Converting from Radians to Milliradians

Converting from radians to milliradians is a straightforward process that involves multiplying the given value in radians by a conversion factor of 1000. The conversion factor for this conversion is 1000, as there are 1000 milliradians in one radian.

To convert a value from radians to milliradians, simply multiply the given value by 1000. For example, if we have an angle of 2 radians, we can convert it to milliradians by multiplying 2 by 1000, resulting in 2000 milliradians. Similarly, if we have an angle of 0.5 radians, multiplying it by 1000 gives us 500 milliradians.

About Radians

Radians are a unit of measurement used in mathematics and physics to quantify angles. Unlike degrees, which divide a circle into 360 equal parts, radians divide a circle into 2π (approximately 6.28) equal parts. This unit is particularly useful in trigonometry and calculus, as it simplifies many mathematical calculations involving angles.

The concept of radians is based on the relationship between the length of an arc and the radius of a circle. One radian is defined as the angle subtended by an arc that is equal in length to the radius of the circle. In other words, if we were to take a circle with a radius of 1 unit and measure an arc along its circumference that is also 1 unit long, the angle formed at the center of the circle would be 1 radian.

Radians are advantageous because they allow for more straightforward calculations involving angles in trigonometric functions and calculus. Many mathematical formulas and equations involving angles become simpler when expressed in radians. Additionally, radians are dimensionless, meaning they do not have any units associated with them. This property makes it easier to perform calculations and conversions involving angles in various systems of measurement.

About Milliradians

Milliradians, often abbreviated as mrad or mil, are a unit of measurement commonly used in fields such as military, engineering, and ballistics. Derived from the concept of a radian, which is a unit used to measure angles in a circle, a milliradian is equal to one-thousandth of a radian. This makes it a very precise unit for measuring small angles.

Milliradians are particularly useful in long-range shooting and artillery calculations. In these applications, milliradians are used to measure the angular size of a target or the angular deviation of a projectile's trajectory. By converting these angular measurements into milliradians, it becomes easier to make accurate adjustments and calculations for aiming and targeting.

One of the advantages of using milliradians is that they are a dimensionless unit, meaning they do not depend on the distance to the target. This makes milliradians a versatile and consistent unit of measurement, allowing for easy comparison and calculation across different ranges. Additionally, milliradians are often used in conjunction with metric units, making them compatible with the International System of Units (SI).

In summary, milliradians are a precise and widely used unit of measurement for small angles. Their applications range from military and ballistics to engineering and surveying. With their dimensionless nature and compatibility with metric units, milliradians provide a reliable and standardized method for measuring and calculating angles in various fields.

Note that there are several variants of Milliradians, namely NATO Mils, USSR Mils, US WW2 Mils and UK Mils. Information on these variants are available from the links on this page.

 

Radians to Milliradians table

Starting value
Increment
Accuracy
Radians
Milliradians
0rad
0.00000Mil
1rad
1,000.00000Mil
2rad
2,000.00000Mil
3rad
3,000.00000Mil
4rad
4,000.00000Mil
5rad
5,000.00000Mil
6rad
6,000.00000Mil
7rad
7,000.00000Mil
8rad
8,000.00000Mil
9rad
9,000.00000Mil
10rad
10,000.00000Mil
11rad
11,000.00000Mil
12rad
12,000.00000Mil
13rad
13,000.00000Mil
14rad
14,000.00000Mil
15rad
15,000.00000Mil
16rad
16,000.00000Mil
17rad
17,000.00000Mil
18rad
18,000.00000Mil
19rad
19,000.00000Mil
Radians
Milliradians
20rad
20,000.00000Mil
21rad
21,000.00000Mil
22rad
22,000.00000Mil
23rad
23,000.00000Mil
24rad
24,000.00000Mil
25rad
25,000.00000Mil
26rad
26,000.00000Mil
27rad
27,000.00000Mil
28rad
28,000.00000Mil
29rad
29,000.00000Mil
30rad
30,000.00000Mil
31rad
31,000.00000Mil
32rad
32,000.00000Mil
33rad
33,000.00000Mil
34rad
34,000.00000Mil
35rad
35,000.00000Mil
36rad
36,000.00000Mil
37rad
37,000.00000Mil
38rad
38,000.00000Mil
39rad
39,000.00000Mil
Radians
Milliradians
40rad
40,000.00000Mil
41rad
41,000.00000Mil
42rad
42,000.00000Mil
43rad
43,000.00000Mil
44rad
44,000.00000Mil
45rad
45,000.00000Mil
46rad
46,000.00000Mil
47rad
47,000.00000Mil
48rad
48,000.00000Mil
49rad
49,000.00000Mil
50rad
50,000.00000Mil
51rad
51,000.00000Mil
52rad
52,000.00000Mil
53rad
53,000.00000Mil
54rad
54,000.00000Mil
55rad
55,000.00000Mil
56rad
56,000.00000Mil
57rad
57,000.00000Mil
58rad
58,000.00000Mil
59rad
59,000.00000Mil
Radians
Milliradians
60rad
60,000.00000Mil
61rad
61,000.00000Mil
62rad
62,000.00000Mil
63rad
63,000.00000Mil
64rad
64,000.00000Mil
65rad
65,000.00000Mil
66rad
66,000.00000Mil
67rad
67,000.00000Mil
68rad
68,000.00000Mil
69rad
69,000.00000Mil
70rad
70,000.00000Mil
71rad
71,000.00000Mil
72rad
72,000.00000Mil
73rad
73,000.00000Mil
74rad
74,000.00000Mil
75rad
75,000.00000Mil
76rad
76,000.00000Mil
77rad
77,000.00000Mil
78rad
78,000.00000Mil
79rad
79,000.00000Mil