A designer needs to create perfectly circular necklace. the necklace each need to have a radius of 10cm. what is the largest number of necklaces that can be made from 1000cm of wire 1) 15 2) 16 3) 31 4) 32

Question

Mathematics

Roy Whitney

2 November, 00:29

A designer needs to create perfectly circular necklace. the necklace each need to have a radius of 10cm. what is the largest number of necklaces that can be made from 1000cm of wire 1) 15 2) 16 3) 31 4) 32

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Answers (2)

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Trevor Barajas · Answer 1

1) 15

The formula for the circumference of a circle is 2 π x r

r must always be 10cm

2 π x 10 = 62.8cm

This is how much wire is needed to make each necklace

1000/62.8 = 15.92

This is how many necklaces can be made, however since there are only 15 whole necklaces the answer is 15.

We are short 0.008cm to make the 16th one.

Gunner Munoz · Answer 2

Ok so find circumference of 1 neclace

C=2pir

r=10

C=2pi10

c=20pi

how many 20pi's make 1000?

20pi times x=1000

divide both sides by 20pi

xnecklaces=1000/20pi

xnecklaces=50/pi

aprox pi=3.14

xnecklaces=50/3.14

xnecklaces=15.915

round down since you can't sell 0.9 necklasce

15 is answer

1st option is correct