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11. crater lake in oregon is shaped like a circle with a diameter of ab…

Question

  1. 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?

Explanation:

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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Answer:

The area of the surface of Crater Lake is approximately \(23.75\) square miles.