Bunuel wrote:

As shown in the figure above, a circular flower bed lies in a square garden that is 60 meters on each side. What fraction of the garden plot area is not part of the flower bed?

(A) 1/4

(B) 3/4

(C) (4 – π)/2

(D) (4 – π)/4

(E) (π – 2)/4

Attachment:

2017-11-28_1023_001.png

Since side = 60, the diameter of the circle is also 60 and so the radius is 30.

The area of the square is 60 x 60 = 3600 and the area of the circle is π x 30^2 = 900π.

The part of the plot that is not part of the bed is (area of square) - (area of circle) = 3600 - 900π = 900(4 - π)

So the fraction of the garden plot area that is not part of the flower bed is 900(4 - π)/3600 = (4 - π)/4.

Answer: D

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