Subjects trigonometry

Radians To Degrees 5B0F50

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to convert an angle of 5 radians to degrees, rounding to the nearest tenth. 2. The formula to convert radians to degrees is: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. Substitute 5 radians into the formula: $$5 \times \frac{180}{\pi}$$ 4. Calculate the multiplication: $$5 \times \frac{180}{\pi} = \frac{5 \times 180}{\pi} = \frac{900}{\pi}$$ 5. Approximate $\pi \approx 3.1416$: $$\frac{900}{3.1416} \approx 286.4789$$ 6. Round to the nearest tenth: $$286.5$$ Therefore, 5 radians is approximately 286.5 degrees.