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The image contains problems asking for conversions from radians to degrees and determining the "principal value" of given angles in radians.

Here’s a step-by-step breakdown of what each part represents:

### Converting from Radians to Degrees:
To convert radians to degrees, use the formula:
\[
\text{Degrees} = \text{Radians} \times \frac{180}{\pi}
\]

#### For each question (a-g) in the left section:
1. **a)** \( \frac{\pi}{8} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{\pi}{8} \times \frac{180}{\pi} = \frac{180}{8} = 22.5^\circ
   \]
   
2. **b)** \( \frac{3\pi}{2} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{3\pi}{2} \times \frac{180}{\pi} = 270^\circ
   \]

3. **c)** \( \frac{4\pi}{5} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{4\pi}{5} \times \frac{180}{\pi} = 144^\circ
   \]

4. **d)** \( \frac{\pi}{5} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{\pi}{5} \times \frac{180}{\pi} = 36^\circ
   \]

5. **e)** \( \frac{7\pi}{2} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{7\pi}{2} \times \frac{180}{\pi} = 630^\circ
   \]

6. **f)** \( \frac{12\pi}{5} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{12\pi}{5} \times \frac{180}{\pi} = 432^\circ
   \]

7. **g)** \( \frac{12\pi}{5} \, \text{radians} \)
   (Same as f, so it also equals 432°)

---

### Principal Values (Esas Ölçü):
The "principal value" or "esas ölçü" refers to reducing an angle to the range \( 0^\circ \leq \theta < 360^\circ \).

#### For each question in the right section (A-F):
1. **A)** \( \frac{7\pi}{6} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{7\pi}{6} \times \frac{180}{\pi} = 210^\circ
   \]
   Principal value: \( 210^\circ \) (since it's already within the 0° to 360° range).

2. **B)** \( \frac{7\pi}{6} \, \text{radians} \) (same as A)
   Principal value: \( 210^\circ \)

3. **C)** \( \frac{38\pi}{5} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{38\pi}{5} \times \frac{180}{\pi} = 1368^\circ
   \]
   Now, subtract multiples of 360°: 
   \[
   1368^\circ - 3 \times 360^\circ = 288^\circ
   \]
   Principal value: \( 288^\circ \)

4. **D)** \( \frac{38\pi}{5} \, \text{radians} \) (same as C)
   Principal value: \( 288^\circ \)

5. **E)** \( \frac{9\pi}{2} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{9\pi}{2} \times \frac{180}{\pi} = 810^\circ
   \]
   Subtracting multiples of 360°: 
   \[
   810^\circ - 2 \times 360^\circ = 90^\circ
   \]
   Principal value: \( 90^\circ \)

6. **F)** \( \frac{21\pi}{2} \, \text{radians} \)
   \[
   \text{Degrees} = \frac{21\pi}{2} \times \frac{180}{\pi} = 1890^\circ
   \]
   Subtracting multiples of 360°: 
   \[
   1890^\circ - 5 \times 360^\circ = 90^\circ
   \]
   Principal value: \( 90^\circ \)

---

### Summary of Principal Values:
- **A)** 210°
- **B)** 210°
- **C)** 288°
- **D)** 288°
- **E)** 90°
- **F)** 90°

Let me know if you would like further clarifications on any specific part of the problem.

### Here are 5 related questions for more practice:
1. Convert \( \frac{5\pi}{4} \, \text{radians} \) to degrees.
2. What is the principal value of \( 5\pi \, \text{radians}? \)
3. How many degrees are there in \( \frac{2\pi}{3} \, \text{radians}? \)
4. What is the principal value of \( \frac{15\pi}{4} \, \text{radians}? \)
5. Convert \( \frac{8\pi}{6} \, \text{radians} \) to degrees and find its principal value.

### Tip:
Always reduce radians by subtracting multiples of \( 2\pi \) (or \( 360^\circ \) for degrees) to find the principal value of an angle.

Convert radians to degrees and determine the principal values (esas ölçü) for given radian measures.

This problem involves converting radians to degrees using the formula Degrees = Radians * (180 / π) and finding the principal values of given radian measures. Detailed solutions for radian values such as π/8, 3π/2, and more are provided.

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