Seconds of Arc to Radians Converter

To convert seconds of arc to radians, multiply the angle by the following conversion ratio: 4.8481E-6 radians/second of arc.

How to Convert Seconds of Arc to Radians

Imagine you want to convert an angle measured in seconds of arc to radians. Here’s how the conversion works:

1. Understand the Inputs: Start by knowing the angle measured in seconds of arc that you want to convert.
2. Know the Conversion Ratio: To convert seconds of arc to radians, you need to multiply the angle by the conversion ratio, which is 4.8481E-6 radians per second of arc. This ratio helps in changing the units from seconds of arc to radians.
3. Apply the Formula: The conversion formula is straightforward:
   Radians = Seconds of Arc × 4.8481E-6.
   This means you multiply the angle in seconds of arc by 4.8481E-6 to get the equivalent angle in radians.
4. Example Calculation: Let’s say you have an angle of 500,000 seconds of arc that you want to convert to radians. You would apply the formula:
   Radians = (500,000 × 4.8481E-6) = 2.424068 radians.
5. Understand the Units: Seconds of arc and radians are both units to measure angles. Radians are commonly used in mathematical calculations.

So, by using this conversion method, you can easily change angles measured in seconds of arc into radians, allowing for simpler mathematical operations.

Frequently Used Values