Degree to Radian Converter

1 ° = 0.017453 rad

01

FORMULA

1 ° = 0.017453 rad
02

CONVERSION TABLE

Degree (°) Radian (rad)
1 ° 0.017453 rad
5 ° 0.087266 rad
10 ° 0.174533 rad
25 ° 0.436332 rad
50 ° 0.872665 rad
100 ° 1.7453 rad
250 ° 4.3633 rad
500 ° 8.7266 rad
1,000 ° 17.4533 rad
Radian to Degree
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COMMON VALUES

1 °
= 0.017453 rad
2 °
= 0.034907 rad
3 °
= 0.05236 rad
5 °
= 0.087266 rad
10 °
= 0.174533 rad
15 °
= 0.261799 rad
20 °
= 0.349066 rad
25 °
= 0.436332 rad
30 °
= 0.523599 rad
50 °
= 0.872665 rad
75 °
= 1.309 rad
100 °
= 1.7453 rad
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RELATED CONVERSIONS

Radian → Degree Degree → Gradian Gradian → Degree Radian → Gradian Gradian → Radian

About Degree (°)

One 360th of a full rotation, the degree has been used since ancient Babylonian astronomy, likely chosen because 360 approximates the number of days in a year and has many convenient divisors. Navigation, surveying, architecture, and everyday angle descriptions all use degrees as their primary unit.

About Radian (rad)

The SI unit of angular measure, one radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle is 2*pi radians (approximately 6.283 rad). Radians are essential in calculus and physics because trigonometric functions have their simplest derivatives when angles are in radians.

How to Convert Degree to Radian

The conversion formula is: 1 ° = 0.017453 rad. To convert from Degree (°) to Radian (rad), use the formula above or the interactive converter at the top of this page.

05

FAQ

How many Radian in 1 Degree?

1 Degree (°) equals 0.017453 Radian (rad).

How to convert Degree to Radian?

Multiply the Degree value by 0.017453 to get the equivalent in Radian. Formula: 1 ° = 0.017453 rad

What is the formula for Degree to Radian conversion?

1 ° = 0.017453 rad

Glossary

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