Question

Sam is placing rope lights around the edge of a circular patio with a diameter of 18 feet. The lights come in lengths of 54 inches.How many strands of lights does he need to surround the patio edge?

Answer 1

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

$radius of the circular patio=\frac{Diameter}{2}$

⇒$radius=\frac{18}{2}=9feet$

Now, circumference of the circular patio is given as:

$C=2{\pi}r$

$C=2(3.14)(9)$

$C=56.52 feet$

Now, we know 1 ft=12 inches, therefore 56.52 feet=678.24 inches.

$Number of strands of light will be equal to=\frac{Circumference}{Length}$

=$\frac{678.24}{54}$

=$12.56$

≈$13$

Thus, 13 number of strands are needed to surround the patio edge.

Answer 2

You can find the circumference of the circle with the circumference equals 2pir.
circumference=2pi9
circumference=18pi
circumference=56.55 feet
you can then turn the feet into inches by multiplying by 12
(56.55 feet)x(12inches/foot)=678.58 inches
then divide 678.58 inches by 54 inches to find how many light strands are needed.
(678.58 inches)/(54 inches/strand)=12.57 strands