Subjects trigonometry

Degrees To Radians 521F11

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1. **Problem:** Convert 240° to radians in terms of π. 2. **Formula:** To convert degrees to radians, use the formula $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 3. **Calculation:** $$240^\circ \times \frac{\pi}{180} = \frac{240\pi}{180}$$ 4. **Simplify the fraction:** $$\frac{240\pi}{180} = \frac{\cancel{240}\times 4\pi}{\cancel{180}\times 3} = \frac{4\pi}{3}$$ 5. **Answer:** $$240^\circ = \frac{4\pi}{3}$$ radians. This means 240 degrees is equivalent to $\frac{4\pi}{3}$ radians. Repeat this process for other angles to convert degrees to radians by multiplying by $\frac{\pi}{180}$ and simplifying the fraction.
Circle Practice 2Convert degrees to radians (in terms of π)240° = π300° = π150° = π165° = π