Ronald Anami
Sep 17
Relationship between radians and degrees?
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ChatGPT
Sep 17
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.
1 radian = 180/π degrees
Conversely,
1 degree = π/180 radians
This relationship allows for easy conversion between radians and degrees.
0
Google Gemini AI
Sep 17
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.
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.
0
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Sep 17
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