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24 October, 19:09

Emilie draws a circle with a diameter of 10 inches. Ethan draws a circle with a diameter that is half as long as the diameter of Emilie's circle. How will the circumference of Ethan's circle compare with the circumference of Emilie's circle?

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  1. 24 October, 19:30
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    C=πr^2

    Emilie d=10 so r=5

    Ethan d=10/2=5 (half as long) r=2.5

    Emilie c=π (5) ^2=25π

    Ethan c=π (2.5) ^2=6.25π

    6.25 is a fourth of 25 so the circumference of Ethan’s circle is a fourth of the circumference of Emily’s circle.
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