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anonymous

  • one year ago

Linda throws a dart that hits the square shown below: A square is drawn. A circle of radius 9 units touches the sides of the square. What is the probability that the dart hits a point in the circle? 18% 21.5% 78.5% 81%

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @TheSmartOne Anyone?

  3. mathstudent55
    • one year ago
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    |dw:1435684160450:dw|

  4. mathstudent55
    • one year ago
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    You need to find the area of the square and the area of the circle.

  5. anonymous
    • one year ago
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    cOuld u help me with that i thought my answer was going to be 21.5%

  6. mathstudent55
    • one year ago
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    Since you know the dart hit the square, the total outcome is the area of the square. The desired outcome is the area of the circle. \(P(hitting~ the ~circle) = \dfrac{area~of~circle}{area~of~square} \)

  7. mathstudent55
    • one year ago
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    The square has a half side of 9 units. What is the side of the square? What is x in the figure below? |dw:1435684401233:dw|

  8. anonymous
    • one year ago
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    it would have to be 78

  9. mathstudent55
    • one year ago
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    The radius of the circle is 9. The side of the square is the same as the diameter of the circle. If a circle has a radius of 9, what is its diameter?

  10. mathstudent55
    • one year ago
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    \(P(hitting~ the ~circle) = \dfrac{area~of~circle}{area~of~square}\) \( = \dfrac{\pi r^2}{s^2}=\dfrac{\pi (9)^2}{18^2} = \dfrac{81 \pi}{324} \approx \dfrac{254.34}{324} = 0.785 = 78.5\%\)

  11. mathstudent55
    • one year ago
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    You are correct.

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