Answer :

Let the length of side of square be a and radius of circle be r.


It is given that wire is cut into two parts to form a square and a circle


Therefore, perimeter of square + circumference of circle = length of wire


4a + 2πr = 28


a = …1


Let us assume area of square + area of circle = S


S = a2 + πr2


S = + πr2 (from equation 1)


Condition for maxima and minima






…2



So, for >0


This is the condition for minima


From equation 1


a =


Substituting from equation 2


a =


a =


a =



Hence, radius of circle and length of square be and respectively.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers