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 \( \$ \)

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**.