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Home » Find the area of a circle with a circumference of 31.4 units. - Groen Casting

Find the area of a circle with a circumference of 31.4 units. - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\(120(v+20) + 180v = 5v(v+20)\).
Simplify: \(120v + 2400 + 180v = 5v^2 + 100v\).
Combine terms: \(300v + 2400 = 5v^2 + 100v\).
Rewrite: \(5v^2 - 200v - 2400 = 0\).
Divide by 5: \(v^2 - 40v - 480 = 0\).
\(v = \frac{40 \pm \sqrt{1600 + 1920}}{2}\).
\(v = \frac{40 \pm \sqrt{3520}}{2}\).
\(v = \frac{40 \pm 59.33}{2}\).
The positive solution is \(v = 49.665\).
A circle is inscribed in a square with side length 10 cm. Calculate th...

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