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Radians to Degrees Converter

How many degrees in 1 radian?

There are 57.295779513082 degrees in 1 radian

To convert any value in radians to degrees, just multiply the value in radians by the conversion factor 57.295779513082. So, 1 radian times 57.295779513082 is equal to 57.295779513082 degrees. See details below and use our calculator to convert any value in radians to degrees.

To use this radians to degrees converter, simply type the radian value in the box at left (input). The conversion result in degree will immediately appear in the box at right.

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Definition of Radian

Radian describes the plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle

Definition of Degree

1 degree of arc is defined as 1/360 of a revolution. In SI units 1° is π/180 radians.

As each is equivalent to 57.295779513082 degree, we can use the following conversion formula:
Value in degrees = value in radians * 57.295779513082

Supose you want to convert 1 radian into degrees. In this case just write the equation, then do the math:

Value in degrees = 1 * 57.295779513082 = 57.295779513082 (degrees). This is your your final answer.

Using this converter you can get answers to questions like:

  1. How many radians are in 1 degrees?
  2. 1 radians is equal to how many degrees?
  3. how much is 1 radian in degrees?
  4. How to convert radians to degrees?
  5. What is the conversion factor to convert from radians to degrees?
  6. How to transform radians in degrees?
  7. What is the formula to convert from radians to degrees? Among others.

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Angle Unit Converter

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