Ashley D.

asked • 03/27/18

one line says x, the other says 40-x

A 40-in. piece of string is cut into two pieces. One is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?

1 Expert Answer

By:

Kenneth S. answered • 03/27/18

Tutor
4.8 (62)

Algebra II EXPERT will help you survive & prosper

Ashley D.

Is it f(x)=pi(x)^2+(40-1)^2 f or f(x)=pi(x^2)+(40-1)^2
Report

03/27/18

Kenneth S.

I erred.  If x is the length of the circle (circumference), then the radius should be x/(2pi) and the associated area is pi times the square of this radius value.
 
Then 40-s, the remainder, must be divided by four, and THAT value must be squared to compute the square's area.
 
The  f(x) should be revised accordingly.  The other paragraphs are correct.
Report

03/27/18

Ashley D.

I don't this is the right work for my problem but thank you!
Report

03/28/18

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.