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Question
suppose we have a circle with a radius of 8 units. after measuring, we find that the circumference of the circle is approximately 50.24 units. what is the relationship between the circumference and the diameter of the circle? move the answer choices to the correct places the diameter of the circle is units. to determine the relationship between the two parts of the circle, we divide the by the . the result suggests that the circumference is about times the diameter. we call this constant value
Step1: Calculate the diameter
The diameter $d$ of a circle is related to the radius $r$ by $d = 2r$. Given $r=8$ units, so $d=2\times8 = 16$ units.
Step2: Determine the ratio
To find the relationship between the circumference $C$ and the diameter $d$, we divide the circumference by the diameter. That is $\frac{C}{d}$. Here $C = 50.24$ units and $d = 16$ units, so $\frac{50.24}{16}=3.14$.
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The diameter of the circle is 16 units. To determine the relationship between the two parts of the circle, we divide the circumference by the diameter. The result suggests that the circumference is about 3.14 times the diameter. We call this constant value $\pi$.