The perimeter of an entire circle is the circunference, which is given by

where d is the diameter.
In our case d=23cm then, by sbustituting this values into the last formula,we get

which gives C= 72.26 cm.
However, we need the perimeter of half circle, which is half C plus the vertical segment (23cm), that is

then, the perimeter P is

then, the answer is 59.13 cm