QUESTION IMAGE
Question
circle o has a circumference of approximately 44 in. what is the approximate length of the diameter, d? 7 in. 14 in. 22 in. 44 in.
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: Solve for \(d\)
Given \(C = 44\) in and taking \(\pi\approx\frac{22}{7}\).
From \(C=\pi d\), we can express \(d=\frac{C}{\pi}\).
Substitute \(C = 44\) and \(\pi=\frac{22}{7}\) into the formula: \(d=\frac{44}{\frac{22}{7}}\).
Using the rule for dividing by a fraction (\(a\div\frac{b}{c}=a\times\frac{c}{b}\)), we have \(d = 44\times\frac{7}{22}\).
\(44\div22 = 2\), so \(d=2\times7=14\) in.
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14 in.