Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:
[tex]C=2\pi r[/tex]
Where r is the radius and [tex]\pi=3.14[/tex]
The radius can be calculated by dividing the diameter by 2. Then:
[tex]r=\frac{18in}{2}\\\\r=9in[/tex]
Convert 9 inches to yards (1 yard=36 inches):
[tex](9in)(\frac{1yd}{36in})=0.25yd[/tex]
Substitute this radius into the formula:
[tex]C=2(3.14)(0.25yd)\\C=1.57yd[/tex]
Since there are 21 circles of wire, you need to multiply [tex]C=1.57yd[/tex] by 21:
[tex]C_T=(1.57yd)(21)=32.97yd[/tex]
The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
