Why is it impossible for a circle to have a diameter equal to its circumference? Explain.     A. Only the radius of a circle can be equal to its circumference, not the diameter.   B. The ratio of the circumference to the diameter of a circle is ππ, which is approximately 3.14. If the diameter were equal to the circumference, the ratio would be 1.   C. While the value of the diameter and circumference can be equal, their units must be different, so the diameter cannot equal the circumference.   D. The ratio of the circumference to the diameter of a circle is 1/π, which is approximately 0.32. If the diameter were equal to the circumference, the ratio would be 1.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
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Why is it impossible for a circle to have a diameter equal to its circumference? Explain.
 
 
A. Only the radius of a circle can be equal to its circumference, not the diameter.
 
B. The ratio of the circumference to the diameter of a circle is ππ, which is approximately 3.14. If the diameter were equal to the circumference, the ratio would be 1.
 
C. While the value of the diameter and circumference can be equal, their units must be different, so the diameter cannot equal the circumference.
 
D. The ratio of the circumference to the diameter of a circle is 1/π, which is approximately 0.32. If the diameter were equal to the circumference, the ratio would be 1.
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