To convert minutes of arc to radians, simply multiply the angle by the conversion ratio 0.000291 radians/minute of arc, yielding the formula: radians = minutes of arc × 0.000291.
Minutes of Arc to Radians Converter
Enter the angle in minutes of arc below to get the value converted to radians.
How to Convert Minutes of Arc to Radians
- Understand the Interface: Imagine you’re using a conversion tool with two main inputs:
- Minute of Arc Value: You input the angle in minutes of arc that you want to convert into radians.
- Swap Units Option: This allows you to switch between converting from minutes of arc to radians or vice versa.
- Conversion Formula: To convert minutes of arc to radians, follow this simple formula:
Radians = Minutes of Arc × 0.000291
This means that to get the angle in radians, you multiply the angle in minutes of arc by 0.000291.
- Understanding the Units:
- Minute of Arc: It’s a unit of angle, equal to 1/60th of a degree or 1/21,600 of a circle. It’s also equivalent to π/10,800 radians.
- Radian: This is the SI unit for measuring angles, representing the length of an arc divided by the radius of the circle or arc. One radian is approximately 57.29578 degrees.
- Example Calculation: Let’s say you want to convert 5,000 minutes of arc to radians. You can use the formula:
Radians = (5,000 × 0.000291) = 1.454441 rad
So, 5,000 minutes of arc is approximately equal to 1.454441 radians.
Frequently Used Values
Minutes of Arc Radians 0 0 1 0.000290888 2 0.000581776 3 0.000872664 4 0.001163552 5 0.00145444 6 0.001745328 7 0.002036216 8 0.002327104 9 0.002617992 10 0.00290888 11 0.003199768 12 0.003490656 13 0.003781544 14 0.004072432 15 0.00436332 16 0.004654208 17 0.004945096 18 0.005235984 19 0.005526872 20 0.00581776 21 0.006108648 22 0.006399536 23 0.006690424 24 0.006981312 25 0.0072722 26 0.007563088 27 0.007853976 28 0.008144864 29 0.008435752 30 0.00872664 31 0.009017528 32 0.009308416 33 0.009599304 34 0.009890192 35 0.01018108 36 0.010471968 37 0.010762856 38 0.011053744 39 0.011344632 40 0.01163552 41 0.011926408 42 0.012217296 43 0.012508184 44 0.012799072 45 0.01308996 46 0.013380848 47 0.013671736 48 0.013962624 49 0.014253512 50 0.0145444
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