Mathematics

Question

Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the circle

2 Answer

  • Area of the circle: πR²

    Area of the Square = 2R²

    (the diagonals of the square are diameters in the circle

    P(lies inside) =2R²/πR² = 1/π = 0.318
    P(lies OUTSIDE) = 1-0.318 =0.681

  • The probability that P lies outside the circle will be 0.681.

    What is probability?

    Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

    Point P is chosen at random in a circle.

    If a square is inscribed in the circle.

    Then the probability that P lies outside the circle will be

    Area of the circle: πR²

    Area of the Square = 2R²

    The circle's diameters equate to the square's diagonals.

    P(lies inside) = 2R² / πR² = 1 / π = 0.318

    P(lies outside) = 1 – 0.318 = 0.681

    More about the probability link is given below.

    https://brainly.com/question/795909

    #SPJ2

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