To find the length of the circular arc subtending the central angle $\theta$, you can use the formula:

$\text{Arc Length} = r \times \theta$

Given:

• $r = 36$ meters
• $\theta = \frac{7\pi}{9}$ radians

Now, plug in the values:

$\text{Arc Length} = 36 \times \frac{7\pi}{9}$

Simplify the expression:

$\text{Arc Length} = \frac{36 \times 7\pi}{9} = \frac{252\pi}{9} = 28\pi \text{ meters}$

So, the length of the circular arc is $28\pi$ meters.

Would you like more details on any part of this solution or have any other questions?

---

Here are some related questions you might find useful:

1. What is the area of the sector formed by the same central angle $\theta$?
2. How would the arc length change if the radius were doubled?
3. What is the formula for the arc length if $\theta$ is measured in degrees?
4. How do you convert between radians and degrees for a given angle?
5. How does the arc length formula relate to the circumference of a circle?

Tip: Always remember that in the formula $\text{Arc Length} = r \times \theta$, $\theta$ must be in radians, not degrees.