Answer:
[tex]\Huge \boxed{\mathrm{44.51 \ centimeters}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Length of an arc formula:
[tex]\displaystyle \frac{\theta }{360} \cdot \pi d[/tex]
The angle formed at the centre is 150 degrees.
The diameter of the circle is 34 centimeters.
[tex]\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)[/tex]
[tex]\Longrightarrow \displaystyle \frac{85}{6} \pi[/tex]
[tex]\Longrightarrow 44.505896...[/tex]
The length of arc AB is 44.51 centimeters approximately.
[tex]\rule[225]{225}{2}[/tex]
