Question

Sam used wire fencing to form a border around a circular region in his back yard. If the diameter of the circular region was 16 yards, what was the total length of the border, rounded to the nearest tenth of a yard?

Answer 1

To find the circumference of a circle with a diameter of 16 yards, we use the formula
`\( C = \pi \cdot d \).` The calculated total length of the wire fence border is approximately 50.3 yards.

Step-by-step explanation:

The question asks us to calculate the total length of the border that Sam used for his circular region. The given diameter of the circular region is 16 yards. To find the circumference, which is the total length of the border, we use the formula
`\( C = \pi \cdot d \)` where C is the circumference and d is the diameter of the circle. Pi
`(\( \pi \))` is a constant approximately equal to 3.1416.

Using the given diameter:

`\( C = \pi \cdot 16 \)` yards

`\( C \approx 3.1416 \cdot 16 \)` yards

`\( C \approx 50.2656 \)` yards

Therefore, the total length of the border, rounded to the nearest tenth, is 50.3 yards.