Answer:
73.66 cm
Step-by-step explanation:
The area of a round trampoline is 432 cm².
We need to find the length of the cover that came with Carmen’s trampoline.
The formula for the area of a circle is given by :
A = πr²
Where
r is radius of round trampoline
[tex]r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{432}{3.14}} \\\\r=11.72\ cm[/tex]
To find the length of the cover, we find the perimeter of Carmen’s trampoline.
Perimeter = Circumference
[tex]C=2\pi r\\\\C=2\times 3.14\times 11.72\\\\C=73.6\ cm[/tex]
So, the correct option is (a) "73.66 cm".