Respuesta :
Circle Area = PI*r^2
Semi Circle Area = (PI*r^2)/2
76.97 = (PI*r^2)/2
76.97 * 2 / PI = radius^2
radius^2 = 76.97 * 2 / PI
radius^2 = 153.94 / PI
radius^2 = 49
radius = 7
Diameter = 14 yards
Semi Circle Area = (PI*r^2)/2
76.97 = (PI*r^2)/2
76.97 * 2 / PI = radius^2
radius^2 = 76.97 * 2 / PI
radius^2 = 153.94 / PI
radius^2 = 49
radius = 7
Diameter = 14 yards
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.