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Question
lottie needs to put gypsy moth caterpillar tape around the circumference of a tree that is 2.5 feet in diameter. how many feet of tape does she need in order to go around the tree once?
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 of the circle.
Step2: Substitute the given diameter into the formula
We are given that the diameter \( d = 2.5 \) feet. Substituting this into the formula, we get \( C=\pi\times2.5 \). Using \( \pi\approx3.14 \), we calculate \( C = 3.14\times2.5 \).
Step3: Perform the multiplication
\( 3.14\times2.5 = 7.85 \)
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7.85 feet (or approximately \( 2.5\pi \) feet if we leave it in terms of \( \pi \))