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Home » Circumference \( C = 2\pi r = 31.4 \). - Crosslake

Circumference \( C = 2\pi r = 31.4 \). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A circle is inscribed in a square with side length 14 cm. What is the area, in square centimeters, of the circle?

📌 Radius of circle = half of side = \( rac{14}{2} = 7 \) cm

📌 Area = \( \pi r^2 = \pi imes 49 = 49\pi \) cmÂ².

📌 #### \( 49\pi \)

📌 But we already used 10. Let's replace with better.

📌 Replace 7th: use a geometry optimization.

📌 A rectangular box with no top is to be made with a square base and a volume of 108 cubic meters. If the material for the base costs twice as much per square meter as the sides, what is the minimum possible cost surface area? (Assume cost per unit area for sides is 1 unit)

📌 But this is advanced. Instead, simpler:

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