Answer:
[tex]6\pi[/tex]
Step-by-step explanation:
The area of the circumference of a circle is:
[tex]C=2\pi r[/tex]
We know that r is 8, so we can plug that into the formula.
However, there's a problem. We only want 3pi/4 of the circumference, not the entire circle's circumference. Therefore, we have to divide by part/whole. In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).
[tex]C = (\frac{3\pi/4}{2\pi})*(2\pi *8)\\C = (\frac{3}{8})(16\pi)\\C = \frac{48\pi }{8} \\C = 6\pi[/tex]
