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Question
- crater lake in oregon is shaped like a circle with a diameter of about 5.5 miles.
b. what is the area of the surface 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 area formula
The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 2.75\) into the formula. \(A=\pi\times(2.75)^{2}\).
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The area of the surface of Crater Lake is approximately \(23.75\) square miles.