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26 November, 08:40

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smalle

diameter one-half that of the large circle.

Which statements about the areas are true? Select three options.

The area of the large circle is 16

The area of one small circle is 4

The area of one small circle will be one-half of the area of the large circle.

The total area of the two small circles will equal that of the large circle

The total area of the two small circles will be one-half of the area of the large circle

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Answers (1)
  1. 26 November, 10:43
    0
    The area of the large circle is 16π

    The area of one small circle is 4π

    The total area of the two small circles will be one-half of the area of the large circle

    Step by step explanation:

    Area if circle = πr²

    area of one large circle with a diameter of 8:

    r = diameter/2 = 8/2 = 4

    Area = π*4² = 16π

    total area of 2 smaller diameter one-half that of the large circle.

    Area = πr²

    Diameter of small circle = 1/2 (bigger circle diameter)

    Diameter = 8/2 = 4

    radius = 4/2 = 2

    Area of one small circle = π * (2) ² = 4π

    Total Area of Two smaller circles = 2 (4π) = 8π

    Area of two smaller circle = 1/2 (area of bigger circle) = 1/2 (16π) 8π

    Therefore, based on the answer:

    The area of the large circle is 16π

    The area of one small circle is 4π

    The total area of the two small circles will be one-half of the area of the large circle
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