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Question
circle p has a circumference of approximately 75 inches. what is the approximate length of the radius, r? use 3.14 for π. round to the nearest inch. 38 inches 46 inches 24 inches 12 inches
Step1: Recall the formula for circumference
The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.
Step2: Solve for \(r\)
Given \(C = 75\) inches and \(\pi=3.14\). From \(C = 2\pi r\), we can express \(r\) as \(r=\frac{C}{2\pi}\).
Substitute the values: \(r=\frac{75}{2\times3.14}=\frac{75}{6.28}\approx11.94\).
Step3: Round to the nearest inch
Rounding \(11.94\) to the nearest inch gives \(r = 12\) inches.
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12 inches