Does halving the diameter result in half the area?

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  • 1 year ago
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    A = pi*r^2

    so if you halve the diameter the new area will be

    A' = pi*(1/2r)^2 = pi*1/4*r^2

    = 1/4 * pi*r^2

    So you get 1/4 the area.

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  • 1 year ago

    A circle of diameter 𝖽 has one-quarter the area of a circle of diameter 𝟤𝖽.

    picture = 1000 words

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  • 1 year ago

    No. It results in the radius.

    Source(s): your bad math joke of the day.
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  • 1 year ago

    Halving the diameter results in a fourth of the area.

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  • 1 year ago

    No. It results in 1/4 of the previous area.

    Let's say we have a circle with radius 10.

    A=pir^2=pi*10^2=100pi which is about 314

    Now let's half that radius to 5.

    A=pir^2=pi*5^2=25pi which is about 78.5

    314/78.5=4.03 which is basically 4. If we didn't round the area to about 78.5 and about 314,t it would have been 4 exactly.

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  • 1 year ago

    no..1/4 the area..and i never learned the math to do that...i have just always remembered that since i learnd it a few years ago

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  • alex
    Lv 7
    1 year ago

    NO

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  • 1 year ago

    1/4 the area

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