A wire of length … units is cut into two parts which are bent respectively to form a square of side … units and a circle of radius … units. If the sum of the areas of the square and the circle so formed is minimum, then:

Application of Derivatives

JEE Main 2016 · Session, Shift 1 · Q2633

MathematicsMedium175×since 2002Q2633

A wire of length

2

units is cut into two parts which are bent respectively to form a square of side

=x

units and a circle of radius

=r

units. If the sum of the areas of the square and the circle so formed is minimum, then: