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Question
10 if the diameter of a circle with a circumference of 18.84 inches were tripled, what would be the circumference of the new circle? 6.28 in 37.68 in 18.84 in 56.52 in skip 9/10 complete
Step1: Recall the circumference formula
The formula for the circumference of a circle is $C = \pi d$, where $C$ is the circumference and $d$ is the diameter.
Step2: Analyze the relationship between diameter and circumference
If the original circumference $C_1=\pi d_1 = 18.84$ inches. When the diameter is tripled, the new diameter $d_2 = 3d_1$.
Step3: Calculate the new circumference
The new circumference $C_2=\pi d_2=\pi(3d_1)=3(\pi d_1)$. Since $\pi d_1 = 18.84$ inches, then $C_2 = 3\times18.84=56.52$ inches.
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