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find the area of a circle with diameter 16 m. use the value 3.14 for π,…

Question

find the area of a circle with diameter 16 m. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 16\) m, so \( r=\frac{d}{2}=\frac{16}{2}=8\) m.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2}\). Substitute \( r = 8\) m and \( \pi=3.14\) into the formula: \( A = 3.14\times8^{2}=3.14\times64\).

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Answer:

\(200.96\) square meters