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Radian to Degree Converter

Use this free, accurate radian to degree calculator to convert between Radian (rad) and Degree (°). Includes live instant results, complete mathematical formulas, conversion tables, and step-by-step examples.

Quick Values:
Decimals:
Result:

57.29577951 Degree

Conversion Ratio

1 rad is equal to 57.29578 °.

Formula Rule

° = rad × 57.29577951

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Step-by-Step Math

How to Convert Radian to Degree

To convert from Radian to Degree, multiply the value in Radian by 57.29578 (or use the formula: ° = rad × 57.29578).

Formula:° = rad × 57.29577951
1

Identify Input Amount

Take your initial measurement in Radian (rad). For instance, let's convert 1 rad.

Value = 1 rad
2

Apply the Conversion Factor

Multiply by the standard conversion factor (57.29578).

1 × 57.29578
3

Calculate the Result

The final converted measurement equals 57.29578 Degree (°).

Result = 57.29578 °
Quick Reference Chart

Radian to Degree Conversion Table

Compare standard reference values and common conversion benchmarks.

Radian (rad)Degree (°)Action
1 rad57.29578 °
2 rad114.59156 °
3 rad171.88734 °
5 rad286.4789 °
10 rad572.9578 °
15 rad859.43669 °
20 rad1145.91559 °
25 rad1432.39449 °
50 rad2864.78898 °
75 rad4297.18346 °
100 rad5729.57795 °
250 rad14323.94488 °
500 rad28647.88976 °
1000 rad57295.77951 °
Unit Encyclopedia

Understanding Radian and Degree

Official standards, measurement systems, and real-world everyday applications.

Source UnitMetric (SI)

Radian [rad]

A radian is the SI base unit for measuring angles, where 2π radians equal a full 360-degree circle.

Common Practical Uses

CalculusTrigonometryPhysicsRotational dynamics
Target UnitStandard

Degree [°]

A degree is a measurement of plane angle defined such that a full rotation is 360 degrees.

Common Practical Uses

GeometryNavigation compass bearingsAstronomyMechanical engineering

Need to convert in reverse?

Calculate from Degree (°) back to Radian (rad).

Convert Degree to Radian

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Frequently Asked Questions

How many degrees are in 1 radians?

There are 57.29578 degrees in 1 radians. Exactly 1 rad is equal to 57.29578 °.

What is the formula to convert radians to degrees?

The conversion formula is: Degree = ° = rad × 57.29577951. Applying this to 1 rad gives: 1 × 57.29578 = 57.29578 °.

How do you convert degrees back to radians?

To convert in reverse from degrees to radians, multiply by the inverse factor: 1 ° = 0.017453 rad. Alternatively, divide your Degree amount by 57.29578.

How can I estimate Radian to Degree without a calculator?

For a fast mental approximation, multiply your starting Radian number by 57.

What is the difference between Radian and Degree?

Radian (rad) belongs to the Metric (SI) system, commonly used in Calculus, Trigonometry, Physics. In comparison, Degree (°) is part of the Standard system, frequently applied in Geometry, Navigation compass bearings, Astronomy.

What are common benchmark conversions from Radian to Degree?

Key milestones include: 1 rad = 57.29578 °, 5 rad = 286.4789 °, 10 rad = 572.9578 °, 50 rad = 2864.789 °, and 100 rad = 5729.578 °.