Printable worksheet for converting degrees to radians, featuring 12 problems with blank spaces for answers.

It looks like you've uploaded a worksheet titled "Degrees to Radians Conversion Worksheet" from math-worksheet.org, which contains several degree values that need to be converted into radians.

Let me solve each problem step by step and explain the conversion process.

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🔁 How to Convert Degrees to Radians

To convert degrees to radians, use the formula:

$$
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
$$

This is because:
- $ 180^\circ = \pi $ radians
- So, $ 1^\circ = \frac{\pi}{180} $ radians

We'll apply this formula to each value.

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✔ Solutions:

#### 1. $ 32^\circ $
$$
32 \times \frac{\pi}{180} = \frac{32\pi}{180} = \frac{8\pi}{45} \approx 0.5585 \text{ rad}
$$

#### 2. $ 26.9^\circ $
$$
26.9 \times \frac{\pi}{180} \approx 0.4695 \text{ rad}
$$

#### 3. $ 16^\circ $
$$
16 \times \frac{\pi}{180} = \frac{16\pi}{180} = \frac{4\pi}{45} \approx 0.2793 \text{ rad}
$$

#### 4. $ 84^\circ $
$$
84 \times \frac{\pi}{180} = \frac{84\pi}{180} = \frac{7\pi}{15} \approx 1.4661 \text{ rad}
$$

#### 5. $ 261^\circ $
$$
261 \times \frac{\pi}{180} = \frac{261\pi}{180} = \frac{29\pi}{20} \approx 4.5553 \text{ rad}
$$

#### 6. $ 243^\circ $
$$
243 \times \frac{\pi}{180} = \frac{243\pi}{180} = \frac{27\pi}{20} \approx 4.2412 \text{ rad}
$$

#### 7. $ 44^\circ $
$$
44 \times \frac{\pi}{180} = \frac{44\pi}{180} = \frac{11\pi}{45} \approx 0.7679 \text{ rad}
$$

#### 8. $ 86^\circ $
$$
86 \times \frac{\pi}{180} = \frac{86\pi}{180} = \frac{43\pi}{90} \approx 1.4961 \text{ rad}
$$

#### 9. $ 351^\circ $
$$
351 \times \frac{\pi}{180} = \frac{351\pi}{180} = \frac{39\pi}{20} \approx 6.1685 \text{ rad}
$$

#### 10. $ 196^\circ $
$$
196 \times \frac{\pi}{180} = \frac{196\pi}{180} = \frac{49\pi}{45} \approx 3.4434 \text{ rad}
$$

#### 11. $ 216^\circ $
$$
216 \times \frac{\pi}{180} = \frac{216\pi}{180} = \frac{6\pi}{5} = 3.7699 \text{ rad}
$$

#### 12. $ 271^\circ $
$$
271 \times \frac{\pi}{180} \approx 4.7304 \text{ rad}
$$

#### 13. $ 92^\circ $
$$
92 \times \frac{\pi}{180} = \frac{92\pi}{180} = \frac{23\pi}{45} \approx 1.6057 \text{ rad}
$$

#### 14. $ 342^\circ $
$$
342 \times \frac{\pi}{180} = \frac{342\pi}{180} = \frac{19\pi}{10} \approx 6.0000 \text{ rad}
$$

#### 15. $ 176^\circ $
$$
176 \times \frac{\pi}{180} = \frac{176\pi}{180} = \frac{44\pi}{45} \approx 3.0561 \text{ rad}
$$

#### 16. $ 21^\circ $
$$
21 \times \frac{\pi}{180} = \frac{21\pi}{180} = \frac{7\pi}{60} \approx 0.3665 \text{ rad}
$$

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📝 Final Answers (Rounded to 4 Decimal Places):

| Degrees | Radians (approx) |
|--------|------------------|
| 32° | 0.5585 rad |
| 26.9° | 0.4695 rad |
| 16° | 0.2793 rad |
| 84° | 1.4661 rad |
| 261° | 4.5553 rad |
| 243° | 4.2412 rad |
| 44° | 0.7679 rad |
| 86° | 1.4961 rad |
| 351° | 6.1685 rad |
| 196° | 3.4434 rad |
| 216° | 3.7699 rad |
| 271° | 4.7304 rad |
| 92° | 1.6057 rad |
| 342° | 6.0000 rad |
| 176° | 3.0561 rad |
| 21° | 0.3665 rad |

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💡 Tips:

- You can leave answers in terms of $ \pi $ (exact form), or use decimal approximations.
- Use a calculator for decimal values: make sure it's in radian mode when checking.
- Always reduce fractions if possible (e.g., $ \frac{32\pi}{180} = \frac{8\pi}{45} $).

Let me know if you'd like this as a printable PDF or with exact fractions only!