Convert Radians to Degrees
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Radian (rad)
Definition
A radian is the SI unit for angles. One radian is the angle made by an arc equal in length to the radius. 1 rad ≈ 57.296° (or 180/π degrees).
History
Described by Roger Cotes in 1714; the term "radian" first appeared in 1873. The concept dates back to the 1400s.
Use
Preferred in math and physics. Since it's a ratio of lengths, it's often written without the “rad” symbol.
Degree (°)
Definition
A degree divides a circle into 360 parts. 1° = π/180 radians.
History
Exact origin unknown. 360 was likely chosen due to its many divisors, making it useful for geometry and timekeeping.
Use
More common in daily life, but radians are preferred in mathematical contexts due to their connection to π.