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The problem asks to convert the angles from radians to degrees (sexagesimal system):

We know the conversion factor:
\[
1 \text{ rad} = \frac{180^\circ}{\pi}
\]

### For part (a): \(3.14 \text{ rad}\)
1. Multiply by the conversion factor:
   \[
   3.14 \text{ rad} \times \frac{180^\circ}{\pi} \approx 3.14 \times \frac{180^\circ}{3.1416} \approx 180^\circ
   \]
   So, \(3.14 \text{ rad} \approx 180^\circ\).

### For part (b): \(9.42 \text{ rad}\)
1. Similarly, convert to degrees:
   \[
   9.42 \text{ rad} \times \frac{180^\circ}{\pi} \approx 9.42 \times \frac{180^\circ}{3.1416} \approx 540^\circ
   \]
   Thus, \(9.42 \text{ rad} \approx 540^\circ\).

### Final answers:
- \(3.14 \text{ rad} = 180^\circ\)
- \(9.42 \text{ rad} = 540^\circ\)

Would you like further details or have any questions?

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Here are 5 related questions for deeper understanding:
1. How do you convert degrees back into radians?
2. What is the degree equivalent of \(\pi/2\) radians?
3. How do you interpret angles greater than \(360^\circ\) in degrees?
4. How can you calculate an angle in radians if given its sine or cosine value?
5. Why is \(\pi\) used as the conversion factor between radians and degrees?

**Tip**: Always check if angles in radians are multiples of \(\pi\), as they simplify conversions!

Expresar los siguientes ángulos en el sistema sexagesimal: a) 3.14 rad, b) 9.42 rad.

Learn how to convert 3.14 rad and 9.42 rad to degrees with a clear, step-by-step guide. Understand key trigonometric concepts and formulas used in the conversion process, suitable for students in Grades 10-12.

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