A = πr² is the equation to a whole circle.
A = (1/2) πr² is the euqaton to a SEMIcircle (or half of a circle)
Since you are given a diameter of 50.6 cm, you need to half it to get the radius... that would be 25.3 cm.
Now all that's left to do is plug in and solve:
A = (1/2) π(25.3 cm)²
The exact answer is...
A= 320.045π cm²