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11 September, 10:20

A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you land inside the bigger circle but outside smaller circle?

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  1. 11 September, 12:47
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    Step-by-step explanation:

    The first step is to determine the areas of the inner and the bigger circles.

    The formula for determining the area of a circle is expressed as

    Area = πr²

    Where

    r represents the radius of the circle.

    π is a constant whose value is 3.14

    Considering the inner circle,

    diameter = 148.4 cm

    Radius = 3 inches

    Area = 3.14 * 3² = 28.26 inches²

    Considering the bigger circle,

    Radius = 7 inches

    Area = 3.14 * 7² = 153.86 inches²

    The area between the bigger and inner circles is

    153.86 - 28.26 = 125.6 inches²

    Probability = number of favourable outcome/number of total outcome.

    the probability you land inside the bigger circle but outside smaller circle is

    125.6/153.86 = 0.82
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