Answer:
Step-by-step explanation:
Remember that
Area of Circle =

They told us that for this circle, the area is 
If you put it back into the formula for area of a circle we get:
Area of Circle =

Divide both sides by
.
144 = 
Now we want to solve for r (r = radius).
You need to square root each side


So now we know the radius,
metres
Also remember that
Diameter = 
So,
Diameter = 2 times 12 = 24 metres
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Each piece = (4/5) yards
(4/5) yards * 3 feet = 2.4 feet each piece
which equals 2 feet 4.8 inches each