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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-example-1
User Numberwhun
by
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1 Answer

1 vote

Answer:

0.36

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.

User Richard Burton
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