Question

Can you please help

Answer 1

17 yards

Step-by-step explanation

the area of a circle is given by:

`\text{Area}_(circle)=\pi\cdot radius^2`

then,let

`\begin{gathered} \text{Area}=908.9yd^2 \\ \text{radius}=\text{ r} \end{gathered}`

Now, replace.

`\begin{gathered} \text{Area}_(circle)=\pi\cdot radius^2 \\ 908.9yd^2=\pi\cdot r^2 \end{gathered}`

we need to isolate r

`\begin{gathered} 908.9yd^2=\pi\cdot r^2 \\ \text{divide bothsides by }\pi \\ (908.9yd^2)/(\pi)=(\pi)/(\pi)r^2 \\ (908.9yd^2)/(\pi)=r^2 \\ square\text{ root in both sides} \\ \sqrt[]{\frac{908.9yd^2}{\sqrt[\square]{\pi}}}=√(r^2) \\ \sqrt[]{(908.9yd^2)/(√(\pi))}=r \\ 17yd=r \\ \end{gathered}`

so, the radius is 17 yards

I hope this helps you