Relationship between radians and degrees?

Radians and degrees are two different units of measuring angles. One full rotation around a circle is equal to 360 degrees or 2π radians. This means that 1 radian is equal to approximately 57.3 degrees. The relationship between radians and degrees can be expressed as:

1 radian = 180/π degrees

Conversely,

1 degree = π/180 radians

This relationship allows for easy conversion between radians and degrees.

Relationship:

Radians and degrees are two units used to measure angles. The conversion between them is as follows:

1 radian = 180/π degrees ≈ 57.2958 degrees
1 degree = π/180 radians ≈ 0.017453 radians

Conversions:

- Radians to Degrees:
```
Degrees = Radians × (180/π)
```

- Degrees to Radians:
```
Radians = Degrees × (π/180)
```

Examples:

- To convert 30 degrees to radians:
```
Radians = 30 × (π/180) ≈ 0.5236 radians
```

- To convert π/3 radians to degrees:
```
Degrees = (π/3) × (180/π) ≈ 60 degrees
```

Variations in Circumference:

- The circumference of a circle with radius r measured in radians is 2πr.
- The circumference of a circle with radius r measured in degrees is 2πr (180/π) = 360r.

Therefore, the circumference of a circle measured in degrees is 360 times the radius.

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