A museum groundskeeper is creating a semicircular statuary garden with a diameter of 38 feet. There will be a fence around the garden. The fencing costs $8.25 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.
C = pi * d
C = 3.14 * 38
C = ?
Multiply the circumference by $8.25.
To calculate the fencing cost, we need to first find the perimeter of the semicircular statuary garden, which represents the length of the fence.
The formula to calculate the perimeter or circumference of a circle is:
C = π * d
where C is the circumference and d is the diameter of the circle.
Given that the diameter of the semicircular garden is 38 feet, we can find its circumference by substituting the value into the formula:
C = 3.14 * 38
C ≈ 119.32 feet
Now that we know the length of the fence required, we can calculate the fencing cost by multiplying the length by the cost per linear foot:
Fencing Cost = Length of Fence * Cost per Linear Foot
Fencing Cost = 119.32 * $8.25
Fencing Cost ≈ $985.87
Therefore, the fencing cost for the semicircular statuary garden would be approximately $985.87.