The approximate length is 21 cm.
Step-by-step explanation
Finding the length of the wire implies finding the perimeter of the semicircular pendant.
To find the perimeter of the pendant, we will use the formula below:
P = 2r + πr
Where P is the perimeter of the semicircle.
r is the radius of the semicircle.
π is a constant = 22/7
From the given question, r = 4.
Substitute the values into the formula and evaluate.
![P=2(4)+(22)/(7)(4)](https://img.qammunity.org/2023/formulas/mathematics/college/fxojqpf5ebt1flkpotrudlk44xy76hk63g.png)
![=8+(88)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/jw2gfahlaw2tksmla40wt36j4ay7eo4ghv.png)
![=20.5714](https://img.qammunity.org/2023/formulas/mathematics/college/y2y3yun81flavd8z981bt2jbkgrhvipkdi.png)
![\approx21\text{ cm}](https://img.qammunity.org/2023/formulas/mathematics/college/eemu702u1xiipeqodrcs9y2lj5p0w1tnbt.png)