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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?

Respuesta :

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.

Answer: The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

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