arc-seconds to radians
Convert arc-second to radian — instant, free, with the formula shown.
1 ″=4.8481e-6 rad
How to convert arc-second to radian
To convert arc-second to radian, multiply by 4.8481e-6:
rad = ″ × 4.8481e-6
For example, 10 ″ × 4.8481e-6 = 4.8481e-5 rad.
″ to rad conversion table
| arc-seconds (″) | radians (rad) |
|---|---|
| 1 ″ | 4.8481e-6 rad |
| 2 ″ | 9.6963e-6 rad |
| 5 ″ | 2.4241e-5 rad |
| 10 ″ | 4.8481e-5 rad |
| 25 ″ | 0.0001212 rad |
| 50 ″ | 0.00024241 rad |
| 100 ″ | 0.00048481 rad |
| 250 ″ | 0.00121203 rad |
| 500 ″ | 0.00242407 rad |
| 1000 ″ | 0.00484814 rad |
Other arc-second conversions
Convert to radian from another unit
″ to rad — frequently asked
How many radians are in 1 arc-second?
1 arc-second = 4.8481e-6 radians (″ × 4.8481e-6 = rad).
What is the formula to convert arc-second to radian?
Multiply your arc-second value by 4.8481e-6 to get radian.
How do I convert 10 arc-seconds to radians?
10 ″ = 4.8481e-5 rad. For 100 ″ the answer is 0.00048481 rad. Use the calculator on this page for any other value.
When to convert arc-second to radian
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
Related calculators & tools
Compound Interest Calculator
SIP, FD, and investment returns
BMI Calculator
Body Mass Index with Asian thresholds
Calorie Calculator
Daily intake, TDEE & macros
Loan EMI Calculator
Home, car & personal loan EMI
Caffeine Half-Life Calculator
How long caffeine stays in your system
Percentage Calculator
Convert marks to percentage