Explanation
The circumference C of a circle with a radius r is given by the following formula:
[tex]C=2\pi r[/tex]
Then if the circumference is 49 yd we obtain the following equation that we must solve for r:
[tex]49=2\pi r[/tex]
We can divide both sides by 2π:
[tex]\begin{gathered} \frac{49}{2\pi}=\frac{2\pi r}{2\pi} \\ r=\frac{49}{2\pi}=7.798592 \end{gathered}[/tex]Answer
Rounding to the nearest hundredth the answer is 7.80.
