we can see that the diameter of the circle is 32 cm
to calculate the area, we need the radius
the radius is half of the diameter, therefore the radius is 16 cm
the formula for the area of a circle is A = πr²
we can plug in the radius so we have A = π(16)²
here, we use order of operations to get A = 256π
since the shape is a semicircle, we need to calculate half of the circle's area
256/2 is 128
the answer is 128π
i don't know if you should round for this problem, so i will leave the answer as that
if you need to round, just plug it into a calculator and go from there