Convert Seconds Of Arc to Radians
Enter the angle in seconds of arc below to get the value converted to radians.
How to Convert Seconds Of Arc to Radians
To convert a second of arc measurement to a radian measurement, multiply the angle by the conversion ratio. One second of arc is equal to 4.8481E-6 radians, so use this simple formula to convert:
The angle in radians is equal to the seconds of arc multiplied by 4.8481E-6.
Seconds of arc and radians are both units used to measure angle. Keep reading to learn more about each unit of measure.
Seconds Of Arc
The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.
A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.
The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.
Radians
A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.
The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.
Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.
Second Of Arc Measurements and Equivalent Radian Conversions
| Seconds Of Arc | Radians |
|---|---|
| 1" | 0.0000048481 rad |
| 2" | 0.0000096963 rad |
| 3" | 0.000014544 rad |
| 4" | 0.000019393 rad |
| 5" | 0.000024241 rad |
| 6" | 0.000029089 rad |
| 7" | 0.000033937 rad |
| 8" | 0.000038785 rad |
| 9" | 0.000043633 rad |
| 10" | 0.000048481 rad |
| 11" | 0.00005333 rad |
| 12" | 0.000058178 rad |
| 13" | 0.000063026 rad |
| 14" | 0.000067874 rad |
| 15" | 0.000072722 rad |
| 16" | 0.00007757 rad |
| 17" | 0.000082418 rad |
| 18" | 0.000087266 rad |
| 19" | 0.000092115 rad |
| 20" | 0.000096963 rad |
| 21" | 0.000102 rad |
| 22" | 0.000107 rad |
| 23" | 0.000112 rad |
| 24" | 0.000116 rad |
| 25" | 0.000121 rad |
| 26" | 0.000126 rad |
| 27" | 0.000131 rad |
| 28" | 0.000136 rad |
| 29" | 0.000141 rad |
| 30" | 0.000145 rad |
| 31" | 0.00015 rad |
| 32" | 0.000155 rad |
| 33" | 0.00016 rad |
| 34" | 0.000165 rad |
| 35" | 0.00017 rad |
| 36" | 0.000175 rad |
| 37" | 0.000179 rad |
| 38" | 0.000184 rad |
| 39" | 0.000189 rad |
| 40" | 0.000194 rad |
More Second Of Arc Angle Conversions
- Convert to Milliradians
- 1" is equal to 0.004848 milliradians
- Convert to Degrees
- 1" is equal to 0.000278 degrees
- Convert to Minutes Of Arc
- 1" is equal to 0.016667 minutes of arc
- Convert to Gradians
- 1" is equal to 0.000309 gradians
- Convert to Revolutions
- 1" is equal to 7.716E-7 revolutions
- Convert to Circles
- 1" is equal to 7.716E-7 circles
- Convert to Mils (NATO)
- 1" is equal to 0.004938 mils (NATO)
Unit of Measurement Conversion Made Easy!
There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!
Understanding the Metric System
The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.
Here is a list of some of the common metric prefixes:
- “kilo” – 1,000x larger
- “hecto” – 100x larger
- “deca” – 10x larger
- “deci” – 10x smaller
- “centi” – 100x smaller
- “milli” – 1,000x smaller
There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.
