Answer:
14 yards
Step-by-step explanation:
The area of a semi circle is given by:
[tex]A = \frac{1}{2} \pi r^2[/tex]
where, r is the radius of the semi-circle.
It is given that:
A = 76.97 sq. yards
[tex]\Rightarrow \frac{1}{2} \pi r^2=76.97 \\ \Rightarrow r = \sqrt{\frac{2\times 76.97}{\pi}} = 7 \text { yards}[/tex]
We know that diameter is twice of radius.
Thus, diameter of the semicircle is, d = 2 × 7 = 14 yards.