QUESTION IMAGE
Question
david wants to measure the diameter of his circular pool, but he does not have a tape measure long enough to reach across the pool. he measures around the pool edge and finds that it has a circumference of approximately 96 feet. find the diameter.
the pool’s diameter is
(round to the nearest whol
feet
feet
feet²
feet³
Step1: Recall Circumference Formula
The formula for the circumference \( C \) of a circle is \( C = \pi d \), where \( d \) is the diameter. We know \( C \approx 96 \) feet and \( \pi \approx 3.14 \).
Step2: Solve for Diameter \( d \)
Rearrange the formula to \( d=\frac{C}{\pi} \). Substitute \( C = 96 \) and \( \pi \approx 3.14 \):
\( d=\frac{96}{3.14}\approx30.57 \). Round to the nearest whole number, \( d\approx31 \).
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31 feet