Answer:
[tex]5.6[/tex] inches.
Step-by-step explanation:
The length of the outer edge of the wheel between two consecutive spokes is given by;
[tex]l=d\sin(\frac{\theta}{2} )[/tex]
where d=18 inches.
and
[tex]\theta=\frac{360\degree}{10}=36\degree[/tex] is the central angle.
We substitute the values to obtain;
[tex]l=18\sin(\frac{36\degree}{2})[/tex]
[tex]l=18\sin(18\degree)[/tex]
[tex]l=5.562305899[/tex]
[tex]l=5.6[/tex] inches to the nearest tenth.
