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

Hampton

Mathematics

8 September, 04:51

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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Ezra Curtis · 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.

Andrade · 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