Convert arcsecond to degree

Arcsecond

An arcsecond is an angle unit equal to one three-thousand-six-hundredth of a degree.

Arcseconds developed from sexagesimal angle subdivision and became important in astronomy, geodesy, and precision measurement.

Arcseconds are used in astronomy, optics, surveying, geodesy, angular resolution, telescope pointing, and precision alignment.

Degree

A degree is an angle unit equal to one three-hundred-sixtieth of a full circle.

Degrees have long been used in astronomy, geometry, navigation, and mapping.

Degrees are used in geometry, navigation, surveying, mapping, drafting, weather direction, and everyday angle measurements.

How to Convert Arcsecond to Degree

Mathematically, degree (°) = arcsecond (″) converted with the formula below.

1 ″ = 0.000278 °

1 ° = 3,600 ″

Formula: value × 0.000277777777778

Example: 15 ″ = 0.004167 °

1. Start with the angle value in arcseconds.
2. Use the relationship that 3600 arcseconds equals 1 degree.
3. Divide the arcsecond value by 3600.
4. Report the converted result in degrees.

Precision note: Use degrees = arcseconds / 3600. Avoid over-rounding if the source angle represents coordinates, pointing, or alignment tolerance.

How many ″ in ° and ° in ″

1 ″ = 0.000278 °

1 ° = 3,600 ″

Common Use Cases for ″ to °

• Converting astronomy or survey tolerances into decimal degrees.
• Preparing map, coordinate, or geodesy values from arcsecond source data.
• Summarizing optical or alignment angles in a broader unit.
• Checking precision measurements against degree-based references.

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