Sam in 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?
Circumfrance= piXdiameter
C=piX18
56.548
FEET INTO INCHES
56.548X(12)=678.576
DIVIDE 678.576 BY 54
678.576 DIVIDED BY 54= 12.566 ROUNDED TO 12.56
12.56 strands of light are needed to surround the patio edge.
C = pi * d
C = 3.14 * 18
C = 56.52 feet
54 inches = 4.5 feet
56.52 / 4.5 = 12.56 = 13 strands
To find out how many strands of lights Sam needs, we need to calculate the circumference of the circular patio and then divide it by the length of each strand.
First, let's find the circumference of the circular patio. We know that the diameter is 18 feet, so we can use the formula for circumference of a circle: C = πd, where C is the circumference and d is the diameter.
C = π * 18 feet
C ≈ 3.14 * 18 feet
C ≈ 56.52 feet
Now that we have the circumference, we can divide it by the length of each strand of lights:
Number of strands = C / length of each strand
Number of strands = 56.52 feet / 54 inches
It's important to convert inches to feet to have consistent units.
Since there are 12 inches in a foot, we can convert 54 inches to feet by dividing it by 12:
54 inches / 12 inches/foot = 4.5 feet
Now we can calculate the number of strands:
Number of strands = 56.52 feet / 4.5 feet
Number of strands ≈ 12.56
Since we can't have a fraction of a strand, Sam will need to round up to the nearest whole number.
Therefore, Sam needs at least 13 strands of lights to surround the edge of the circular patio.
18*3.14=56.52
56.52÷4.5=12.56
13 strands
Hwa needs 13 strands to surround the patio edge.