A 100 cm piece of wire is cut into two parts

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A 100 cm piece of wire is cut into two parts. One part is bent to form a circle, and the other is bent to form a square. To minimize the total area enclosed by the two figures, approximately how many centimeters of wire should be used for the circle? (a) 50 cm50\text{ cm} (b) 32 cm32\text{ cm} (c) 44 cm44\text{ cm} (d) 47 cm47\text{ cm}

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