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Degree to Radian

Convert Degree to Radian

Formula
Radian = Degree × 0.0174533
or: Degree = Radian ÷ 0.0174533
Common Conversions
Degree to Radian Conversion Table
DegreeRadian
0.10.002
0.50.009
10.017
20.035
50.087
100.175
250.436
500.873
1001.745
5008.727
1,00017.453
5,00087.266
10,000174.533

What is a Degree (°)?

The degree (°) is a unit of angle measurement equal to 1/360 of a full rotation. It originated in ancient Babylon from their base-60 numeral system. Degrees are the most commonly used angle unit in everyday life, navigation, and engineering.

What is a Radian (rad)?

The radian (rad) is the SI unit of angle measurement. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle contains 2π radians (approximately 6.283). Radians are essential in mathematics and physics.

How to Convert Degree (°) to Radian (rad)

To convert Degree to Radian, multiply the Degree value by 0.0174533. For example, to convert 5 Degree to Radian: 5 × 0.0174533 = 0.0872665 Radian. You can also use the free online calculator above for instant, accurate results.

Frequently Asked Questions

How many radians are in 1 degree?

There are 0.0174533 radians in 1 degree. The conversion factor is 0.0174533.

What is the formula to convert degree to radian?

The formula is: Radian = Degree × 0.0174533. For example, 10 Degree = 0.174533 Radian.

How to convert 100 degree to radian?

100 degree = 1.74533 radian. Multiply 100 by 0.0174533.

Is degree bigger than radian?

Yes, 1 degree equals 0.0174533 radian, which means degree is the larger unit.