To find the circumference of a circle when you know the diameter, you can use the formula for the circumference, which is:
[tex]\[ C = \pi \times d \][/tex]
Where:
- [tex]\( C \)[/tex] is the circumference
- [tex]\( \pi \)[/tex] (Pi) is approximately 3.14159
- [tex]\( d \)[/tex] is the diameter of the circle
Given the diameter of the circle is 100 yards, we can substitute that value into the formula:
[tex]\[ C = \pi \times 100 \][/tex]
Next, multiply [tex]\(\pi\)[/tex] by 100:
[tex]\[ C \approx 3.14159 \times 100 \][/tex]
[tex]\[ C \approx 314.159 \][/tex]
Therefore, the approximate circumference of the circle is 314 yards.
Hence, the correct option is:
○ 314 yards