Answer:
13
Step-by-step explanation:
It s given that Sam is placing rope lights around the edge of a circular patio with a diameter of 18 feet, thus
[tex]radius of the circular patio=\frac{Diameter}{2}[/tex]
⇒[tex]radius=\frac{18}{2}=9feet[/tex]
Now, circumference of the circular patio is given as:
[tex]C=2{\pi}r[/tex]
[tex]C=2(3.14)(9)[/tex]
[tex]C=56.52 feet[/tex]
Now, we know 1 ft=12 inches, therefore 56.52 feet=678.24 inches.
[tex]Number of strands of light will be equal to=\frac{Circumference}{Length}[/tex]
=[tex]\frac{678.24}{54}[/tex]
=[tex]12.56[/tex]
≈[tex]13[/tex]
Thus, 13 number of strands are needed to surround the patio edge.
