The Unit Converters

Convert Degrees to Radians

1 Degree = 0.0174533 radians


Conversion Formula

To convert degree to Radian, multiply the value by 0.0174533.

Degree × 0.0174533 = Radian

Quick Reference

° rad
1 0.0174533
5 0.0872665
10 0.174533
25 0.436332
50 0.872665
100 1.74533
500 8.72665
1000 17.4533

What is Degree?

A degree (symbol: °) is a measurement of a plane angle, representing 1/360 of a full rotation.

Common Uses

The degree is the most common unit of angular measurement used in everyday life, navigation, geography (latitude and longitude), and elementary geometry.

What is Radian?

The radian (symbol: rad) is the SI unit for measuring angles.

It is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. One full rotation (360°) is equal to $2\pi$ radians.

Common Uses

The radian is the standard unit of angular measurement used in many areas of mathematics, physics, and engineering because of its natural mathematical properties.

How many radians are in a degree?

There are 0.0174533 radians in 1 degree.

What is the formula to convert Degree to Radian?

To convert Degree to Radian, multiply the value by 0.0174533.


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