ANSWER
[tex]\begin{gathered} \text{Radius}=13.5\text{ yards} \\ \text{Diameter=27 yards} \end{gathered}[/tex]EXPLANATION
We want to find the radius and diameter of a circle given that its circumference is 84.823 yards.
The circumference of a circle is given as:
[tex]C=2\pi r[/tex]where r = radius
Therefore, the radius is:
[tex]\begin{gathered} 84.823=2\cdot\pi\cdot r \\ \Rightarrow r=\frac{84.823}{2\cdot\pi} \\ r=13.5\text{ yards} \end{gathered}[/tex]Diameter is twice the radius.
Therefore, the diameter is:
[tex]\begin{gathered} D=2\cdot r \\ D=2\cdot13.5 \\ D=27\text{ yards} \end{gathered}[/tex]
