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Question
the circumference of a circle is 12.56 feet. what is the circles diameter? c = 12.56 ft
Step1: Recall the formula for the circumference of a circle
The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter and \( \pi \approx 3.14 \).
Step2: Solve for the diameter \( d \)
We know \( C = 12.56 \) feet and \( \pi\approx3.14 \). From \( C=\pi d \), we can re - arrange the formula to solve for \( d \): \( d=\frac{C}{\pi} \).
Substitute \( C = 12.56 \) and \( \pi = 3.14 \) into the formula: \( d=\frac{12.56}{3.14} \).
Step3: Calculate the value of \( d \)
\( \frac{12.56}{3.14}=4 \).
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The diameter of the circle is 4 feet.