The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the(adsbygoogle = window.adsbygoogle || []).push({});

sum of their areas is least when the side of square is double the radius of the circle.

is this way correct?

assume that x is side of square and r is radius of circle

k=4x+2∏r

sum of areas=area of square+area of circle

find critical pt and find 2nd derivative to show its min.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maxima and minima problem

**Physics Forums | Science Articles, Homework Help, Discussion**