I need to placed a fence around the a circular garden with a diameter of 12 feet. If fencing costs $$ \$ 3.45 $$ per foot, how much will it cost to fence the garden? Round to the nearest cent. Use 3.14 for pi. The fence will cost $$ \$ $$

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To find the cost of fencing the circular garden, we need to follow these steps:

1. **Calculate the circumference of the garden**: The formula for the circumference $$ C $$ of a circle is given by:
   $$
   C = \pi \times d
   $$
   where $$ d $$ is the diameter of the circle.

2. **Substitute the known values**: The diameter of the garden is 12 feet, and we will use $$ \pi = 3.14 $$.

3. **Calculate the cost of the fencing**: Once we have the circumference, we can multiply it by the cost per foot of fencing.

Let's perform these calculations step by step.

### Step 1: Calculate the Circumference
Using the formula:
$$
C = \pi \times d = 3.14 \times 12
$$

### Step 2: Calculate the Cost of Fencing
The cost of fencing is given by:
$$
\text{Cost} = C \times \text{cost per foot} = C \times 3.45
$$

Now, let's calculate the values.

First, we will calculate the circumference.
Calculate the value by following steps:
- step0: Calculate:
  $$3.14\times 12$$
- step1: Multiply the numbers:
  $$37.68$$
Calculate or simplify the expression $$ 37.68 * 3.45 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$37.68\times 3.45$$
- step1: Multiply the numbers:
  $$129.996$$
### Step 1: Calculate the Circumference
The circumference of the garden is:
$$
C = 3.14 \times 12 = 37.68 \text{ feet}
$$

### Step 2: Calculate the Cost of Fencing
Now, we calculate the cost of fencing:
$$
\text{Cost} = 37.68 \times 3.45 = 129.996
$$

Rounding this to the nearest cent, the cost of fencing the garden is:
$$
\text{Cost} \approx 130.00
$$

Thus, the fence will cost **$130.00**.
The fence will cost \$130.00.

I need to placed a fence around the a circular garden with a diameter of 12 feet. If fencing costs \( \$ 3.45 \) per foot, how much will it cost to fence the garden? Round to the nearest cent. Use 3.14 for pi. The fence will cost \( \$ \)

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