The circumference formula is given by
[tex]C=\pi\cdot d[/tex]where C denotes the circumference, d the diameter and Pi the number 3.1416. In our case, we know that
[tex]C=314\text{ m}[/tex]so, we have the following equation,
[tex]314=\pi\cdot d[/tex]or equivalently,
[tex]\pi\cdot d=314[/tex]and we need to isolate the diameter d. Then, by dividing both sides by Pi, we get
[tex]d=\frac{314}{\pi}[/tex]or equivalently,
[tex]d=\frac{314}{3.1416}[/tex]which gives
[tex]d=99.949\text{ meters}[/tex]Thererefore, by rouding to the nearest hundreadth, the answer is: 99.95 meters.