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- Radian measure of any angle is a real number and vice-versa. How?

Formula used : arc length = radius × angle (in radian).

I interpreted this as:

•Taking a unit circle, we get "angle (in radian) = arc length".

This means radian measure of an angle is arc length, which can be represented on a real number line. Hence, it is a real number.

Is this way to interpret correct? (I think it's not!)

I interpreted this as:

•Taking a unit circle, we get "angle (in radian) = arc length".

This means radian measure of an angle is arc length, which can be represented on a real number line. Hence, it is a real number.

Is this way to interpret correct? (I think it's not!)