Radians and Degrees are two ways of measuring angles. Radians are defined as numbers and do not have an attached unit, while degrees are defined with the ° symbol. Here are a few examples of angles defined using either radians or degrees.

Degrees:

120°

43°

398°

Radians:

123

2(pi)

1.26

There is a simple conversion factor which can be used to convert between the two: pi radians = 180°. When it is set up as a conversion factor, it can be easily used to convert between the two different ways of measuring angles.

Degrees were originally a concept of the Egyptians who used a base-60 number system. They found that 6 equilateral triangles fit inside of a circle, and therefore determined it to have 360 degrees (6*60). The Egyptians also invented the degrees symbol. (

Sources:

https://www.popsci.com/scitech/article/2002-02/who-determined-circle-should-be-divided-360-degrees

http://www.unc.edu/~rowlett/units/dictR.html

Degrees:

120°

43°

398°

Radians:

123

2(pi)

1.26

There is a simple conversion factor which can be used to convert between the two: pi radians = 180°. When it is set up as a conversion factor, it can be easily used to convert between the two different ways of measuring angles.

**Who invented degrees?**Degrees were originally a concept of the Egyptians who used a base-60 number system. They found that 6 equilateral triangles fit inside of a circle, and therefore determined it to have 360 degrees (6*60). The Egyptians also invented the degrees symbol. (

**°**)**Who invented radians?**

James Thomson defined and named the radian in 1873. Thomson was a professor of mathematics at Queen's College, Belfast, Northern Ireland, and the brother of the famous physicist William Thomson, Lord Kelvin, who developed the Kelvin measure of temperature. A radian is approximately 57.3

**°.**Sources:

https://www.popsci.com/scitech/article/2002-02/who-determined-circle-should-be-divided-360-degrees

http://www.unc.edu/~rowlett/units/dictR.html

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