1. The problem is to understand the concept of radians and how to work with angles measured in radians. 2. Radians measure angles based on the radius of a circle. One radian is the angle created when the arc length equals the radius. 3. The formula to convert degrees to radians is $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 4. Important rules: - A full circle is $$2\pi$$ radians. - Half a circle is $$\pi$$ radians. - Quarter circle is $$\frac{\pi}{2}$$ radians. 5. To convert radians back to degrees, use $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$. 6. Example: Convert 90 degrees to radians: $$90 \times \frac{\pi}{180} = \frac{\pi}{2}$$ radians. 7. Example: Convert $$\frac{\pi}{3}$$ radians to degrees: $$\frac{\pi}{3} \times \frac{180}{\pi} = 60$$ degrees. This understanding helps in trigonometry and calculus where radians are the standard unit for angles.