radians equals degrees times pi over 180

Solution

1 Degree (°)

All Angle Conversions

UnitValue
Degree (°)1
Radian (rad)0.017453293
Share:

How It Works

This converter transforms angle values between degrees and radians. Degrees divide a full rotation into 360 parts, while radians use the ratio of arc length to radius, with a full rotation equal to 2π.

Frequently Asked Questions

How do you convert degrees to radians?

Multiply the degree value by π/180. For example, 90° = 90 × π/180 = π/2 ≈ 1.5708 radians.

How many radians are in a full circle?

A full circle is 2π radians, approximately 6.2832 radians, which equals 360 degrees.

When should I use radians instead of degrees?

Radians are used in calculus, physics, and most scientific formulas because they simplify mathematical expressions involving trigonometric functions.

Related Converters