The formula is used to find the diameter of circle is:
![d = (C)/(3.14)](https://img.qammunity.org/2021/formulas/mathematics/college/87admf2ifjmz17nkdl66wwofd1zztqzn97.png)
The diameter of circle is 5.1 cm
Solution:
Given that,
Circumference (C) of a circle is 16 cm
The formula for circumference of circle when diameter is given is:
![C = \pi d\\\\\pi \text{ is a constant equal to 3.14}\\\\C = 3.14d](https://img.qammunity.org/2021/formulas/mathematics/college/l5t0vjc95pea8vjv8zk8yqcy82vdkmw2jv.png)
Rearrange the formula to get "d"
Divide both sides by 3.14
![d = (C)/(3.14)](https://img.qammunity.org/2021/formulas/mathematics/college/87admf2ifjmz17nkdl66wwofd1zztqzn97.png)
The above formula is used to find the diameter of circle
Given that, circumeference = C = 16 cm
Substituting we get,
![d = (16)/(3.14)\\\\d = 5.095 \approx 5.1](https://img.qammunity.org/2021/formulas/mathematics/college/q4dltkk5b2q0ig9514u1qeuf0daww9jrp4.png)
Thus diameter of circle is 5.1 cm