The area of a circle is $2464\text{ square meters}$. What will be its circumference?

Let the radius of the circle be $r$.
Given that the area is $2464{\text{m}}^2$:

$$\pi r^2=2464$$

$$\frac{22}{7}\times r^2=2464$$

$$r^2=2464\times \frac{7}{22}$$

$$r^2=112\times 7=784$$

$$r=\sqrt{784}=28\text{m}$$

Now, compute the circumference of the circle:

$$\text{Circumference}=2\pi r=2\times \frac{22}{7}\times 28$$

$$\text{Circumference}=2\times 22\times 4=176\text{m}$$