Answer:
The arc length of the partial circle is [tex]6\pi\ units[/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 a 3/4 of a circle
so
the circumference is equal to
[tex]C=(\frac{3}{4})2\pi r[/tex]
[tex]C=\frac{3}{2}\pi r[/tex]
we have
[tex]r=4\ units[/tex]
substitute
[tex]C=\frac{3}{2}\pi (4)[/tex]
[tex]C=6\pi\ units[/tex]
