A designer needs to create perfectly circular necklaces. The necklaces each need to have a radius of 10 cm. What is the largest number of necklaces that can be made from 1000 cm of wire?

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Answer 1 · 2017-05-30T23:23:41

The designer can make a maximum of #15# necklaces.

We can find this out by dividing the total amount of wire by the circumference of one necklace.

#C = 2piR#

#C = 2 xx 10pi#

#C = 20pi#

#C = 62.832"cm"#

Now we can find out the amount of necklaces that the designer can make.

#1000 ÷ 62.832 = 15.915#

#therefore# The designer can make a maximum of #15# necklaces.