Question

find the area of the circle. round your answer to the nearest tenth.

Explanation:

Step1: Find the radius

Given the diameter \(d = 15.4\) km. The radius \(r=\frac{d}{2}\), so \(r=\frac{15.4}{2}=7.7\) km.

Step2: Use the area formula

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 7.7\) into the formula: \(A=\pi\times(7.7)^{2}\).

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Step3: Round to the nearest tenth

\(186.1706\approx186.2\) (Note: There might be a calculation error in the original problem - if we use more accurate \(\pi\approx3.14159\), \(A = 3.14159\times59.29=3.14159\times(60 - 0.71)=188.4954-2.2305=186.2649\approx186.3\))

Answer:

\(186.3km^{2}\)