Q: Why radian is national unit?

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The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

Because a radian is a far more versatile unit of measurement, especially in advanced mathematics.

it is used as an degree. It is an unit of angle.

It is the derived unit of plane angle and 1 radian = one full rotation/2π. Also, it is equal to 57.296°.

A radian is simply a measurement unit. The relation between a radian and real numbers is similar to the relation between a degree and real numbers or a metre and real numbers.

Related questions

A mile is an obsolete unit of distance and the radian is a unit for angles !

Meter is a unit of length. Radian is a unit of angle. They don't relate.

No.

The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

Pi over 12 on a radian unit circle is a little more than a quarter of the circle. Radian units are an alternative to degrees.

One radian is equal to roughly 57 degrees!

A radian.

Because a radian is a far more versatile unit of measurement, especially in advanced mathematics.

it is used as an degree. It is an unit of angle.

It is the derived unit of plane angle and 1 radian = one full rotation/2π. Also, it is equal to 57.296°.

There is no "radian of a straight line", as far as I know. A radian is a unit of angular measurement - defined in such as way that a complete circle (also known as 360Â°) is equivalent to 2 x pi.

A radian is simply a measurement unit. The relation between a radian and real numbers is similar to the relation between a degree and real numbers or a metre and real numbers.