1. The problem is to draw a circle and explain how to find the length of an arc of the circle. 2. A circle is a set of points equidistant from a center point. The length of an arc is a portion of the circumference of the circle. 3. The formula to find the length of an arc is: $$\text{Arc length} = \frac{\theta}{360} \times 2\pi r$$ where $\theta$ is the central angle in degrees and $r$ is the radius of the circle. 4. Important rules: - The angle $\theta$ must be in degrees. - The radius $r$ is the distance from the center to any point on the circle. 5. Example: If the radius $r=5$ and the central angle $\theta=60^\circ$, then $$\text{Arc length} = \frac{60}{360} \times 2\pi \times 5 = \frac{1}{6} \times 10\pi = \frac{10\pi}{6} = \frac{5\pi}{3}$$ 6. So the arc length is $\frac{5\pi}{3}$ units. This method works for any arc length calculation given the radius and central angle.