Subjects trigonometry

Degree To Radian

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Degree To Radian


1. We are asked to convert an angle of 30° into radians. 2. Recall the formula to convert degrees to radians is $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 3. Substitute 30 for degrees and 3.14 for $$\pi$$: $$30 \times \frac{3.14}{180} = 30 \times 0.01744 = 0.5232$$ radians. 4. The user approximated that as 0.524, which is close. 5. Then the length $$l$$ is calculated using $$l = 6 \times 0.524 = 3.144$$ approximately. 6. The final converted radian value for 30° is $$0.5236$$ (more precise using $$\pi$$) and the length $$l$$ about $$3.144$$ with the given radius 6 and angle in radians.