Question

Please help this is almost due soon!

Answer 1

Answer:

$6\pi$

Step-by-step explanation:

The area of the circumference of a circle is:

$C=2\pi r$

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).

$C = (\frac{3\pi/4}{2\pi})*(2\pi *8)\\C = (\frac{3}{8})(16\pi)\\C = \frac{48\pi }{8} \\C = 6\pi$