# 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?

May 30, 2017

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

#### Explanation:

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

$C = 2 \pi R$

$C = 2 \times 10 \pi$

$C = 20 \pi$

$C = 62.832 \text{cm}$

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.