1 Degree to Radians
1° ≈ 0.017453 rad
≈ 0.0056π rad
Calculation: rad = 1° × 0.0174533 ≈ 0.017453 rad
Degree to Radian Converter
How wide is 1°?
1 degrees is comparable to the angle a clock minute hand sweeps in a few seconds to one minute.
What does 1° look like?
Did you know? Thumb width at arm's length is 1°.
Your thumb held at arm's length covers about 1-2° of sky. Astronomers use this as a quick reference.
How to Convert Degree to Radian
1 degree = 0.0174533 radians exact
Radian = Degree × 0.0174533
Example: 1° × 0.0174533 = 0.017453 rad
Reverse Conversion
To convert radians back to degrees:
- Remember, 1 radian equals 57.2958 degrees.
- To convert 0.017453 rad to°, multiply
0.017453 x 57.2958, resulting in1°.
exact This conversion factor is exact by international definition.
1 ° is also equal to:
- 1.1111 gradian
- 0.0027778 turn
About these units
Degree: The degree (°) is a non-SI unit of plane angle defined as 1/360 of a full rotation.It is accepted for use with the SI due to its long-standing practical importance in navigation, surveying, engineeri...
Radian: The radian (rad) is the SI derived unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius.Although mathematically dimensionless, th...
Frequently Asked Questions
How much is 1 degree in radians?
1 degree equals 0.017453 radians. This is calculated by multiplying 1 by the conversion factor 0.0174533.
What does 1 degree look like in radians?
1 degree (0.017453 radians) is a small angle used in precision instruments and fine adjustments.
How do you calculate 1 degree to radians?
Multiply 1 by the conversion factor 0.0174533. The calculation is 1 × 0.0174533 = 0.017453 radians. This factor is defined by international measurement standards.
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For general conversions between degrees and radians, see the degrees to radians converter.
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