Final answer:
The shadowed region can be set up by abating the area of the unshaded region from the total area. The shadowed region is given by the expression πr ²-( 4x 1), which can not be simplified further.
Step-by-step explanation:
The shadowed region can be set up by abating the area of the unshaded region from the total area. The total area is given by A = πr ², and since the compass isn't specified in the question, we can not calculate the exact value. So we will leave it as πr ². The unshaded region has an area of 4x 1. The shadowed region is thus given by the expression πr ²-( 4x 1), which can not be simplified further.
thus, the answer is( πr ²-( 4x 1)). This matches option D in the given answer choices.