Mathematics

Question

find the area of the shaded portion. see the diagram​
find the area of the shaded portion. see the diagram​

1 Answer

  • Answer:

    D. [tex]100[/tex] [tex]m^2[/tex]

    Step-by-step explanation:

    As the radius of this circle is 10 m,  the diameter must be 20 m.

    In this case, the diameter is the same as the length of each side of this square.

    This means that the area of the whole square would be [tex]20^2[/tex] which simplifies to [tex]400[/tex] square meters

    To find the area of the circle, we can use the area formula that states: [tex]A=\pi r^2[/tex]

    We know that r (a)=10 and that we are using [tex]\pi =3[/tex]

    Knowing these, we can plug these values into our equation and simplify

    [tex]A=(3)(10^2)\\\\A=(3)(100)\\\\A=300[/tex]

    This means that the area of the circle is 300 square meters.

    As the circle is the only portion that is not shaded, we can subtract the area of the circle from the total area of the square to find the corners that are shaded.

    As the area of the square is 400 and the area of the circle is 300 we have our equation

    [tex]400-300=100[/tex]

    This means that the answer is [tex]100[/tex] [tex]m^2[/tex]

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