Answer:
Option C. [tex]18.33\ inches[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
In this problem we have
[tex]r=30\ in[/tex]
substitute
[tex]C=2\pi (30)=60\pi\ in[/tex]
Remember that
[tex]360\°[/tex] subtends the complete arc of length of [tex]60\pi\ in[/tex]
so
by proportion
Find the arc length by an angle measuring [tex]35\°[/tex]
[tex]\frac{360}{60\pi }=\frac{35}{x}\\ \\x=60\pi *35/360\\ \\x=18.33\ in[/tex]
