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Monique drew a square and inscribed circle on a sheet of paper, as shown below

(The picture shows a square with a circle in it and the measures are 16cm by 16cm)


Monique randomly drops a pen point-down to leave a mark on the drawing. What is the probability, expressed in percent, that the pen mark will land inside the square, but outside the circle?

A80.38%
B78.50%
C33.33%
D21.50%

Pls help me and explain how you got it.

Verified Answer :

if you know the area of the square is 256 and the area of the circle is 200.96 you subtract 200.96 from 256 and you get 55.04 is the area of the square that is not covered by the circle. so 55.04/256  because that will give you the percent of the area that is outside that circle but inside the square and you get .215 or 21.50%