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Find the area of the shaded region as a simplified expression:

27 πr^2/x9} 4x + 1]
A. (27π 4x^2 36x + 196)
B. (27π 4x^2 36x 196)
C. (πr^2 + 4x^2 + 36x 196)
D. (πr^2 4x^2 36x + 196)

1 Answer

2 votes

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.

User Mike Dalrymple
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