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Angle & Rotation Converter

Convert between degrees, radians, gradians, and minutes of arc.

Quick Angle & Rotation Converter

1 Degree = 0.02 Radian

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All Angle & Rotation Conversions

Degree to Radian

1 deg = 0.017453 rad

Degree to Gradian

1 deg = 1.1111 grad

Degree to Minute of arc

1 deg = 60 arcmin

Degree to Second of arc

1 deg = 3,600 arcsec

Radian to Degree

1 rad = 57.2958 deg

Radian to Gradian

1 rad = 63.662 grad

Radian to Minute of arc

1 rad = 3,437.7468 arcmin

Radian to Second of arc

1 rad = 206,264.8062 arcsec

Gradian to Degree

1 grad = 0.9 deg

Gradian to Radian

1 grad = 0.015708 rad

Gradian to Minute of arc

1 grad = 54 arcmin

Gradian to Second of arc

1 grad = 3,240 arcsec

Minute of arc to Degree

1 arcmin = 0.016667 deg

Minute of arc to Radian

1 arcmin = 0.00029089 rad

Minute of arc to Gradian

1 arcmin = 0.018519 grad

Minute of arc to Second of arc

1 arcmin = 60 arcsec

Second of arc to Degree

1 arcsec = 0.00027778 deg

Second of arc to Radian

1 arcsec = 4.848e-6 rad

Second of arc to Gradian

1 arcsec = 0.00030864 grad

Second of arc to Minute of arc

1 arcsec = 0.016667 arcmin

Angle & RotationConversion Formulas & Examples

Degree → Radian

1 deg = 0.017453 rad

Example: 10 deg = 0.17453 rad

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Radian → Degree

1 rad = 57.2958 deg

Example: 10 rad = 572.9578 deg

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Frequently Asked Questions

Q.How do you convert degrees to radians?

Multiply the angle in degrees by π/180 (approximately 0.0174533). For example, 180° = π radians (≈ 3.14159 rad) and 90° = π/2 radians (≈ 1.5708 rad).

Q.How do you convert radians to degrees?

Multiply the angle in radians by 180/π (approximately 57.29578°). One full circle is 2π radians or 360 degrees.

Q.What is a gradian (gon) and when is it used?

A gradian divides a right angle into 100 parts and a full circle into 400 gradians (1 grad = 0.9°). It is widely used in land surveying and civil engineering.

Q.How many arcminutes and arcseconds are in 1 degree?

One degree is divided into 60 arcminutes (60′), and each arcminute is divided into 60 arcseconds (60″), meaning 1° = 3,600 arcseconds.

Related Unit Converters

Degree to Radian Degree to Gradian Degree to Minute of arc Degree to Second of arc Radian to Degree Radian to Gradian All Unit Converters