Question

Can you please help

Answer 1

17 yards

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

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

so, the radius is 17 yards

I hope this helps you