13 Minute to Radian – Easy Conversion Explained

Converting 13 minutes to radians yields approximately 0.1356 radians.

Since 1 degree equals π/180 radians, and 1 minute (of arc) is 1/60 of a degree, to convert minutes to radians, multiply the number of minutes by π/10,800. So, 13 minutes * (π/10,800) gives the radian measure.

Conversion Result and Explanation

13 minutes convert to about 0.1356 radians. This conversion involves understanding that minutes are a subdivision of degrees, and degrees can be translated into radians using the factor π/180. Because there are 60 minutes in a degree, the conversion factor becomes π/10,800.

Conversion Tool

Enter value in minute:

Result in radian:

Conversion Formula

The formula to convert minutes to radian is: radians = minutes * (π / 10,800). This works because each minute is 1/60 of a degree, and each degree is π/180 radians. Multiplying minutes by these factors converts arcminutes directly into radians. For example, 13 minutes: 13 * (π / 10,800) = 0.1356 radians.

Conversion Example

• Convert 20 minutes to radians:
  • Step 1: Write the formula: radians = 20 * (π / 10,800)
  • Step 2: Calculate: 20 / 10,800 = 0.00185185
  • Step 3: Multiply by π: 0.00185185 * 3.1416 ≈ 0.00582 radians
• Convert 45 minutes to radians:
  • Step 1: Formula: 45 * (π / 10,800)
  • Step 2: 45 / 10,800 = 0.00416667
  • Step 3: 0.00416667 * 3.1416 ≈ 0.01309 radians
• Convert 5 minutes to radians:
  • Step 1: Formula: 5 * (π / 10,800)
  • Step 2: 5 / 10,800 ≈ 0.00046296
  • Step 3: 0.00046296 * 3.1416 ≈ 0.00145 radians

Conversion Chart

Minutes	Radians
-12.0	-0.0035
-11.0	-0.0032
-10.0	-0.0029
-9.0	-0.0026
-8.0	-0.0023
-7.0	-0.0020
-6.0	-0.0018
-5.0	-0.0015
-4.0	-0.0012
-3.0	-0.0009
-2.0	-0.0006
-1.0	-0.0003
0.0	0.0000
1.0	0.0003
2.0	0.0006
3.0	0.0009
4.0	0.0012
5.0	0.0015
6.0	0.0018
7.0	0.0020
8.0	0.0023
9.0	0.0026
10.0	0.0029
11.0	0.0032
12.0	0.0035
13.0	0.0038
14.0	0.0041
15.0	0.0044
20.0	0.0058
25.0	0.0073
30.0	0.0087
35.0	0.0102
38.0	0.0110

Use this chart to quickly find the radian equivalent of any minute value listed, helping with quick conversions without calculator needed.

Related Conversion Questions

• How many radians are equivalent to 13 minutes of arc?
• What is the radian value of 13 arcminutes in degrees?
• How do I convert 13 minutes into radians manually?
• What is the radian measure for 13 minutes?
• Is 13 minutes close to a specific radian value in geometry?
• How many radians is 13 minutes in terms of degrees?
• Can I convert 13 minutes to radians using a calculator?

Conversion Definitions

Minute

A minute is a unit of angular measurement equal to 1/60th of a degree, used in fields like astronomy, navigation, and geometry to specify small angles or distances on a circle’s circumference.

Radian

A radian is an angular measurement representing the angle where the arc length equals the radius of a circle; one radian equals about 57.2958 degrees, used widely in mathematics and physics for its natural properties in circular measurements.

Conversion FAQs

How accurate is converting 13 minutes to radians using this method?

This method provides a precise calculation because it uses the exact mathematical relationship between minutes and radians. Minor differences only occur due to rounding in the decimal approximation of π, making it suitable for most practical purposes.

Why do we multiply by π over 10,800 to convert minutes to radians?

This is because each minute is 1/60 of a degree, and each degree is π/180 radians. Combining these conversions: 1 minute = (π/180) / 60 = π/10,800 radians, thus multiplying minutes by this factor gives the conversion.

Can this conversion be used for large numbers of minutes?

Yes, the formula remains valid irrespective of the size of the number, but for very large values, ensure to use a calculator or software to handle the decimal calculations accurately without rounding errors.