Subjects trigonometry

Radians To Degrees 8332Ac

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Question: Convert 5 radians to degrees. Round to the nearest degree.
1. **State the problem:** Convert $5$ radians to degrees and round to the nearest whole number. 2. **Formula:** To convert radians to degrees, use the formula: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. **Apply the formula:** $$5 \times \frac{180}{\pi}$$ 4. **Calculate the value:** $$5 \times \frac{180}{3.1416} = 5 \times 57.2958 = 286.479$$ 5. **Round the result:** Rounding $286.479$ to the nearest whole number gives $286$. 6. **Conclusion:** $5$ radians is approximately $286$ degrees when rounded to the nearest whole number.