The length of arc AB is approximately 18 centimeters.
How to determine the arc length of a circle
The arc length ([tex]s[/tex]) of a circle section, in centimeters, is defined by the following formula:
[tex]s = \alpha \cdot r[/tex] (1)
Where:
- [tex]\alpha[/tex] - Central angle, in radians
- [tex]r[/tex] - Radius, in centimeters
If we know that [tex]\alpha = \frac{\pi}{3}\,rad[/tex] and [tex]r = 18\,cm[/tex], then the length of the arc is:
[tex]s = \frac{\pi}{3}\cdot (18\,cm)[/tex]
[tex]s \approx 18.850\,cm[/tex]
The length of arc AB is approximately 18 centimeters. [tex]\blacksquare[/tex]
To learn more on arc lengths, we kindly invite to check this verified question: https://brainly.com/question/1577784
