Mathematics

Question

help me on this question please
help me on this question please

1 Answer

  • Answer:

    Step-by-step explanation:

    The diameter equals the side length of the outer square. The radius of the circle is √2. The diameter of the circle would be

    2 × radius = 2 × √2 = 2√2

    The area of a square is expressed as length^2. This means that the area of the outer square would be

    ( 2√2)^2 = 4×2 = 8

    The area of the circle is expressed as πr^2. Therefore, the area of the circle would be

    π×√2^2 = 2π = 2×3.14 = 6.28

    Looking at the inner square, to find the length of the base, we would apply Pythagoras theorem.

    √2^2 = base^2 + 1^2

    2 = base^2 + 1

    base^2 = 2 -1 = 1

    base = √1

    Area of the inner square would be

    √1^2 = 1

    Total shaded area would be

    6.28 - 1 = 5.28

    The probability that the dart will land on the shaded area is

    5.28/8 = 0.66