Answer:
Option A
[tex]22.8\ in[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
where
r is the radius of the circle
In this problem we have
[tex]r=9\ in[/tex]
substitute
[tex]C=2\pi(9)[/tex]
[tex]C=56.5\ in[/tex]
Remember that
[tex]360\°[/tex] subtends the complete circle of length [tex]56.5\ in[/tex]
so
by proportion
Find the approximate length of DE for an arc measure of [tex]145\°[/tex]
[tex]\frac{56.5}{360}=\frac{x}{145} \\ \\360*x=145*56.5\\ \\x=145*56.5/360\\ \\x= 22.8\ in[/tex]
