Convert radian to minute
Please provide values below to convert radian [rad] to minute ['], or Convert minute to radian.
1 rad = 3437.7467639 '. To convert radian to minute, multiply the value by 3437.7467639; to go the other way, divide by it (1 ' = 0.000290888209248 rad). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 rad = 3437.7467639 '
- 1 ' = 0.000290888209248 rad
- 10 rad = 34377.467639 '
- 100 rad = 343774.67639 '
How to Convert Radian to Minute
1 rad = 3437.74676390451 '
Example: convert 15 rad to ':
15 rad = 15 × 3437.74676390451 ' = 51566.2014585676 '
Radian to Minute Conversion Table
| radian | minute |
|---|---|
| 1 rad | 3437.7467639 ' |
| 2 rad | 6875.49352781 ' |
| 3 rad | 10313.2402917 ' |
| 5 rad | 17188.7338195 ' |
| 10 rad | 34377.467639 ' |
| 20 rad | 68754.9352781 ' |
| 50 rad | 171887.338195 ' |
| 100 rad | 343774.67639 ' |
| 500 rad | 1718873.38195 ' |
| 1000 rad | 3437746.7639 ' |
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Minute
A minute is a unit of angular measurement equal to 1/60th of a degree, used to measure angles and geographic coordinates.
History/Origin
The minute originated from the ancient sexagesimal system of the Babylonians, where it was used to divide degrees into smaller parts for more precise measurements. It has been used in astronomy, navigation, and geometry for centuries.
Current Use
Today, the minute is primarily used in astronomy, navigation, and surveying to specify angles with greater precision. It is also used in time measurement, where a minute equals 60 seconds.
Frequently Asked Questions
What is 1 radian in minute?
1 radian (rad) = 3437.7467639 minute (').
How do you convert radian to minute?
Multiply the radian value by 3437.7467639. For example, 25 rad × 3437.7467639 = 85943.6690976 '.
What is 10 radian in minute?
10 rad = 34377.467639 '.
Which unit is larger, the radian or the minute?
The radian is the larger unit: 1 rad = 3437.7467639 '.