Answer
Around 31 yards of fencing are needed.
Work Step by Step
The circular garden measures 10 yards across.
This means that the diameter of the garden is 10 yards.
The perimeter of a circle is its circumference.
The circumference $C$ of a circle can be found using the formula $C=2\pi{r}$ where r = radius.
The radius of a circle is one-half of the circle's diameter.
Thus, the radius of the garden is:
$r = \frac{1}{2}(10) = 5$ yards
Solve for the circumference of the circle using the formula above to obtain:
$C=2\pi(5) = 10\pi \approx 31.4159$ yards
Therefore, there is a need for around 31 yards of fencing.