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 complete circle is given by
[tex]C=2\pi r[/tex]
where
r is the radius of the circle
In this problem
we need to calculate the arc length of three fourth of the circle
so
[tex]C=(\frac{3}{4}) 2\pi r[/tex]
[tex]C=1.5\pi r[/tex]
we have
[tex]r=4\ units[/tex]
substitute
[tex]C=1.5\pi (4)[/tex]
[tex]C=6\pi\ units[/tex]
therefore
The arc length of the partial circle is [tex]6\pi\ units[/tex]
