asherasher asherasher
  • 08-12-2019
  • Mathematics
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find the probability that a randomly selected point within the circle falls in the white area

find the probability that a randomly selected point within the circle falls in the white area class=

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sqdancefan
sqdancefan sqdancefan
  • 08-12-2019

Answer:

  0.36

Step-by-step explanation:

The area of the square is the square of its side length:

  As = (4√2)² = 32

The area of the circle is given by ...

  Ac = πr² = π(4²) = 16π

The white area as a fraction of the circle area is ...

  (Ac -As)/Ac = (16π -32)/(16π) = 1 -2/π ≈ 0.36

The probability of hitting a white area in the circle is about 0.36.

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