A piece of wire 80 cm long is to be cut into two parts
MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A piece of wire 80 cm long is to be cut into two parts. One part will be bent to form a circle, and the other part will be bent to form a square. How many centimeters of wire should be allotted to the circle so that the total area enclosed by the two shapes is minimized? Give your answer to the nearest centimeter.