The circle-shaped part of the necklace above has a diameter of 4 mm. The circumference of the circle-shaped part of each of the earrings is one-half the circumference of the necklace. What is the circumference of the circle-shaped part of one of the earrings? (Use 3.14 for .)

Respuesta :

Answer:

6.28 mm

Step-by-step explanation:

We have been given the diameter of circle shape necklace

[tex]Radius=\frac{diameter}{2}[/tex]

[tex]Radius=\frac{4}{2}=2[/tex]

So, the radius of circle shape necklace is 2mm

Using the formula for circumference which is:[tex]2\pi\cdot r[/tex]

Circumference of necklace of circle shaped is:

[tex]2\cdot3.14\cdot2[/tex]

[tex]\Rightarrow 12.56mm[/tex]

And as we are given that the circumference of of the earrings is one-half the circumference of the necklace.

Hence, the the circumference of the circle-shaped part of one of the earrings:

[tex]\frac{1}{2}\cdot 12.56[/tex]

[tex]\Rightarrow 6.28[/tex]