The perimeter (circumference) a full circle is given by:
[tex]C _f = 2 \pi r[/tex]
A semi-circle is half a circle, so it has half the circumference. We can just multiply the circle's circumference by 2 to get a semi-circle's perimeter's equation, which is:
[tex]C_{sc} = \frac{1}{2}(2 \pi r) = \pi r [/tex]
We are given the diameter which is twice as big as the radius. So, we can divide that by 2 as well to get the radius. Hence, the radius is 32. Plug in numbers:
[tex]C_{sm} = \pi 32 = 100.48[/tex]
So, the perimeter of the semicircle is 100.48m.
