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\frac8!2! = \frac403202 = 20160 - Portal da AcÃºstica

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Question:** A transportation engineer designs a roundabout with a circular path. If the diameter of the roundabout is \(20\) units, compute the area enclosed by the roundabout.

📌 Solution:** The area \(A\) of a circle is given by the formula:

📌 A = \pi r^2

📌 where \(r\) is the radius. Since the diameter is \(20\) units, the radius \(r\) is:

📌 r = \frac{20}{2} = 10

📌 Substituting the radius into the formula, we get:

📌 A = \pi \times 10^2 = 100\pi

📌 Thus, the area enclosed by the roundabout is \(\boxed{100\pi}\).

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