Arc Length Math Example 2

Solution

1. 1
   Step 1: Use the radian arc length formula: $s = r\theta$.
2. 2
   Step 2: Substitute $r = 5$ m and $\theta = \frac{3\pi}{4}$ rad: $s = 5 \times \frac{3\pi}{4}$.
3. 3
   Step 3: Multiply: $s = \frac{15\pi}{4}$ m.
4. 4
   Step 4: Approximate if needed: $s \approx \frac{15 \times 3.1416}{4} \approx 11.78$ m.