#### 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.