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Curvature system problem
Don't lose heart. Understand slowly. For simplicity, the radius of the circle can be set to r.

1

An arc with a long radius.

Among them, radian: understood as a segment of a circle.

The length of a segment of a circle is R.

Then the central angle corresponding to this arc is called the angle of 1 radian.

In this concept, you first understand the concepts of arc and central angle, and then simply understand it.

In order to make it easier to remember, it is best to draw a picture and find the arc and the central angle yourself.

2

Meet the unit leader. You can interpret the unit leader as the number 1.

Unit circle (that is, a circle with a radius of 1

This sentence:

The absolute value of the radian number of the angle α is equal to the arc length of the central angle α.

The arc length of the central angle α is equal to the absolute value of the radian number of the angle α.

In this way,

It is the problem of calculating the arc length of the central angle α with radians.

| radian | * radius R= arc length

Because the radius R= 1

So | radian | * radius R= arc length

The radian here is an absolute value, because the angle is divided into positive and negative points.

I suggest you look at the link below.