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What is the exact area of a circle with a diameter of 20 cm? 400πcm^2 10πcm^2 100πcm^2 20πcm^2

  • MarkV: Hi there! The answer is 100πcm^2

    The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
    Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.

    The exact area of a circle can be found using the following formula:
    [tex]a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius[/tex]

    In order to find our answer, we need to plug in the data from the question.
    [tex]a = \pi \: \times {10}^{2} = 100\pi[/tex]

    Hence, the answer is 100πcm^2.

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