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3. umar is building a fence around a circular lot that has a radius of …

Question

  1. umar is building a fence around a circular lot that has a radius of 15 meters. each linear meter of fencing costs $10. how much will the circular fence cost umar? round to the nearest dollar.

Explanation:

Step1: Calculate the circumference of the circular lot

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 15\) meters and taking \(\pi\approx3.14\), we have \(C=2\times3.14\times15\).

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Step2: Calculate the cost of the fencing

Since each linear - meter of fencing costs \(\$10\), the total cost \(T\) is \(T = 10\times C\). Substituting \(C = 94.2\) into the formula, we get \(T=10\times94.2\).

$$T = 942$$

Answer:

\(942\)