Answer:
The arc length of the semicircle is [tex]5 \pi\ units[/tex] or [tex]15.7\ units[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
The circumference of a semicircle is given by the formula
[tex]C=\frac{1}{2}\pi D[/tex]
where
D is the diameter of the semicircle
we have
[tex]D=10\ units[/tex]
substitute
[tex]C=\frac{1}{2}\pi (10)[/tex]
[tex]C=5 \pi\ units[/tex] ----> exact value
Assume
[tex]\pi =3.14[/tex]
[tex]C=5(3.14)=15.7\ units[/tex] ----> approximate value
therefore
The arc length of the semicircle is [tex]5 \pi\ units[/tex] or [tex]15.7\ units[/tex]
