What is a radian, in simple terms?

Imagine wrapping the radius of a circle along its edge. The angle you sweep is one radian — roughly 57.3°. A full circle is about 6.28 radians (2π).

Why do scientists prefer radians?

Radians simplify formulas. The derivative of sin(x) is cos(x) only when x is in radians. In degrees you would need an extra π/180 factor everywhere.

How do I convert degrees to radians by hand?

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

And radians to degrees?

Multiply by 180 / π. So π radians × (180 / π) = 180°.

Radians ↔ Degrees Converter

Convert angles between radians and degrees instantly. Type a value and see the result update in real time.

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About

Convert angles between radians and degrees with precision. Essential for mathematics, physics, and engineering calculations.

How to Use

Select Conversion Direction: Choose whether to convert from radians to degrees or degrees to radians.
Enter Value: Input the angle value you want to convert.
View Result: See the converted value instantly.
Adjust Precision: Change the number of decimal places if needed.

Features

Bidirectional Conversion

Convert from radians to degrees and vice versa.

Precision Control

Adjust decimal places for your results.

Common Values

Quick access to frequently used angles.

Formula Display

See the conversion formulas used.

Radians ↔ Degrees Converter

Common Values

About

How to Use

Features

Frequently Asked Questions

Radians ↔ Degrees Converter

Common Values

About

How to Use

Features

Frequently Asked Questions

Radians ↔ Degrees Converter

Common Values

About

How to Use

Features

Frequently Asked Questions

What is a radian?

Why use radians instead of degrees?

What is the formula to convert degrees to radians?

What is the formula to convert radians to degrees?

Radians ↔ Degrees Converter

Common Values

About

How to Use

Features

Frequently Asked Questions

What is a radian?

Why use radians instead of degrees?

What is the formula to convert degrees to radians?

What is the formula to convert radians to degrees?