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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.

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

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

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.

From the Wikipedia article about the radian: "The unit was formerly a SI supplementary unit, but this category was abolished in 1995 and the radian is now considered a SI derived unit." The radian can be derived as the ratio between two lengths. That makes it a dimensionless unit.

One radian is equal to roughly 57 degrees!

A radian.

Radian

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

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

Radian is the unit for angular displacement is SI system of units.

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