SOLUTION: A shaded circle is inside a square with two sides measuring 2", one on the side and one on the bottom. Find the probability that an object landing randomly on the figure will land

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Question 274829: A shaded circle is inside a square with two sides measuring 2", one on the side and one on the bottom. Find the probability that an object landing randomly on the figure will land in the shaded circle. Express the probability as a percent?
Answer by dabanfield(803) (Show Source):
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The probability that the object will land in the circle is the ratio of the area of the circle to the area of the square.
Since the square has sides of lenght 2 in, it's area then is 2*2 = 4 sq in.
The inscribed cicle has a radius of half the length of a side of the square or 1 in. The formula for the area of the circle is pi*r^2 where r is the radius. So for this circle the area is pi*1^2 = pi sq in.
The ratio of the two areas then is:
pi/4