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Question
- crater lake in oregon is shaped like a circle with a diameter of about 5.5 miles.
a. how far is it around the perimeter of crater lake?
Step1: Find the radius
The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 5.5\) miles, so \(r=\frac{d}{2}=\frac{5.5}{2}=2.75\) miles.
Step2: Use the formula for the circumference of a circle
The formula for the circumference \(C\) of a circle is \(C = 2\pi r\) or \(C=\pi d\). Using \(C=\pi d\) (since \(d\) is given), and taking \(\pi\approx3.14\), we have \(C = 3.14\times5.5\).
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The distance around the perimeter (circumference) of Crater Lake is approximately \(17.27\) miles.