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

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

Answer 2

13

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=(Diameter)/(2)`

⇒
`radius=(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=(Circumference)/(Length)`

=
`(678.24)/(54)`

=
`12.56`

≈
`13`

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