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Angle Converter

Radian to Degree Converter

Convert Radian (rad) to Degree (°) instantly with our interactive tool, benchmark tables, and detailed unit information.

1 rad = 57.2958 °
Editable
rad
Input
Auto-Calculated
°
Result
Angle conversion — instant results

Convert Radian to Degree

1 rad = 57.2958 °
Radian (rad) Degree (°)
1 rad 57.29578 °
5 rad 286.478898 °
10 rad 572.957795 °
25 rad 1,432.394488 °
50 rad 2,864.788976 °
100 rad 5,729.577951 °
500 rad 28,647.889757 °
1,000 rad 57,295.779513 °

Convert Degree to Radian

1 ° = 0.0175 rad
Degree (°) Radian (rad)
1 ° 0.017453 rad
5 ° 0.087266 rad
10 ° 0.174533 rad
25 ° 0.436332 rad
50 ° 0.872665 rad
100 ° 1.745329 rad
500 ° 8.726646 rad
1,000 ° 17.453293 rad

About Radian and Degree

Detailed information about both units of measurement.

ANGULAR UNIT

Radian

rad
Definition
The SI unit of angle. One radian is the angle created when the arc length equals the radius.
SI / Standard Information
SI-derived unit (rad). A full circle equals 2π radians (~6.283 rad). Essential for calculus, trigonometry, and physics.
Approximate Comparison
One radian is about 57.3 degrees — roughly a 60-degree angle.
Practical Applications
  • Mathematics and calculus
  • Physics angular velocity calculations
  • Engineering and signal processing
  • Computer graphics rotation
Real-World Examples
  • A full circle is 2π radians
  • A right angle is π/2 radians (about 1.57 rad)
  • The Earth rotates at about 0.0000727 rad/s
ANGULAR UNIT

Degree

°
Definition
The most common angular unit. A full circle is divided into 360 equal parts called degrees.
SI / Standard Information
Not an SI unit but widely used. The 360-degree system originates from ancient Babylonian astronomy and their base-60 number system.
Approximate Comparison
One degree is about the width of a little finger held at arm's length.
Practical Applications
  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement
Real-World Examples
  • A right angle is 90 degrees
  • The Earth's axis is tilted at 23.5 degrees
  • A triangle's interior angles sum to 180 degrees

About Converting Radian to Degree

Our Radian to Degree converter provides instant, accurate conversion between these two essential angle units. Whether you are working in engineering, construction, education, or everyday angle measurement, this tool delivers precise results with zero friction.

The Radian (rad) is a angular unit of angle. The SI unit of angle. One radian is the angle created when the arc length equals the radius. One radian is about 57.3 degrees — roughly a 60-degree angle.

The Degree (°) is a angular unit of angle. The most common angular unit. A full circle is divided into 360 equal parts called degrees. One degree is about the width of a little finger held at arm's length.

Conversion Formula & Worked Examples

The conversion between rad and ° uses the following mathematical relationship:

Degree = Radian × 57.295780

Radian = Degree × 0.017453

Whether you need to convert for mathematics and calculus or navigation and gps coordinates, our interactive converter provides instant, accurate results.

Example

1 rad

=

57.2958 °

Example

5 rad

=

286.4789 °

Example

10 rad

=

572.9578 °

Reverse Direction

Need to convert Degree back into Radian?

Switch conversion direction to view Degree → Radian tables, benchmarks, and detailed info.

Open Degree → Radian

Practical Use Cases & Applications

rad Radian

  • Mathematics and calculus
  • Physics angular velocity calculations
  • Engineering and signal processing
  • Computer graphics rotation

° Degree

  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement

Frequently Asked Questions

Common questions about this conversion and related measurement topics.

How do I convert Radian to Degree?
To convert Radian (rad) to Degree (°), multiply the radian value by the conversion factor. Our converter below handles this instantly — just enter the value in rad and the ° result appears in real time.
How many Degrees are in one radian?
One radian (rad) equals approximately 57.295780 degree (°). This conversion factor is constant and can be used for any radian value.
What is the formula to convert rad to °?
The conversion formula is: <strong>Degree = Radian × 57.295780</strong>. For example, 5 rad × 57.2958 = 286.4789 °, and 10 rad × 57.2958 = 572.9578 °.
Can I convert Degree back to Radian?
Yes! Use the reverse direction on our converter, or visit our dedicated <a href="/angle/degrees-to-radians/" class="text-accent-teal underline">Degree to Radian converter</a>. The reverse conversion factor is approximately 1 ° = 0.017453 rad.
Where is Radian commonly used?
Mathematics and calculus, Physics angular velocity calculations, Engineering and signal processing. The SI unit of angle. One radian is the angle created when the arc length equals the radius.
What is the difference between Radian and Degree?
Radian (rad) and Degree (°) are both units of angle. Radian belongs to the angular system, while Degree belongs to the angular system. Understanding the conversion between them is essential for international work in angle measurement.
What are some real-world examples of radians and degrees?
Radian: A full circle is 2π radians; A right angle is π/2 radians (about 1.57 rad) Degree: A right angle is 90 degrees; The Earth's axis is tilted at 23.5 degrees

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About This Conversion ℹ

This Radian to Degree converter provides accurate, real-time conversions between these two angle units.

Both units are among the most commonly used angle measurements — rated 9/10 and 10/10 in popularity.

Bookmark this page for quick access to the Radian → Degree converter whenever you need precise unit conversion.

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