Arc Seconds to Radians

What is Arc Seconds to Radians Converter?

This tool converts Arc Second (″) to Radian (rad) quickly and accurately. Whether you're working with trigonometry, navigation, or physics calculations, this converter provides instant results.

Understanding the Units

Arc Second (″): One sixtieth of an arc minute or 1/3600 of a degree. Used for precise astronomical measurements and geodetic coordinates.

Radian (rad): The SI unit for measuring angles. Defined as the angle subtended at the center of a circle by an arc equal to the radius. One full rotation equals 2π radians.

Who Uses This Conversion?

• Students: Learning trigonometry and geometry
• Engineers: Working with rotational mechanics and control systems
• Navigators: Converting compass bearings and coordinates
• Astronomers: Measuring celestial positions and angles
• Surveyors: Working with land measurements

Privacy

All conversions happen in your browser. No data is stored or sent to any server.

How to Use

Converting Arc Seconds to Radians takes just seconds:

1. Enter the Arc Seconds value in the first input field
2. View the Radians result instantly in the second field
3. Copy the result using the copy button if needed

Reverse Conversion

Need to convert Radians to Arc Seconds instead? Simply click the swap button (↔) to reverse the conversion direction, or type in the Radians field directly.

Tips for Accurate Conversions

• Use decimal points for precise values (e.g., 45.5 instead of 46)
• Large numbers are automatically formatted with thousand separators
• Results update instantly as you type

Common Applications

• Trigonometric calculations
• Navigation and compass readings
• Astronomy and celestial measurements
• Engineering and physics problems

Features

Instant Conversion

Results appear as you type, with no need to click a convert button. The calculation uses precise conversion factors for accurate results.

Bidirectional Input

Type in either field and the other updates automatically. This makes it easy to work in whichever direction you need.

Copy Results

Click the copy button next to any value to copy it to your clipboard for use in documents, emails, or other applications.

Quick Reference Table

The reference section shows common Arc Seconds-to-Radians conversions at a glance for quick lookups.

Unit Flexibility

Use the dropdown menus to switch to other angle units if needed. The converter supports Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.

Mobile Friendly

The converter works on all devices - desktop, tablet, and mobile. Convert angle units anywhere you need them.

Frequently Asked Questions

How do I convert Arc Seconds to Radians?

To convert Arc Second to Radian, multiply the ″ value by 0.0000048481. For example, 1 ″ = 0.0000048481 rad.

What is the formula for Arc Seconds to Radians?

The conversion formula is: rad = ″ × 0.0000048481. Conversely, to convert back: ″ = rad × 206,264.8062471.

What is Arc Second?

One sixtieth of an arc minute or 1/3600 of a degree. Used for precise astronomical measurements and geodetic coordinates.

What is Radian?

The SI unit for measuring angles. Defined as the angle subtended at the center of a circle by an arc equal to the radius. One full rotation equals 2π radians.

Is this converter accurate?

Yes, the converter uses mathematically precise conversion factors. For example, 1 radian = 180/π degrees. Results are accurate for scientific and engineering applications.

Can I convert other angle units?

Yes, use the dropdown menus to select from many angle units including Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.

Does this work offline?

Once the page loads, all calculations happen in your browser. However, you need an internet connection for the initial page load.