You have a wire that is 59 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of he square and the circle. What is the circumference of the circle when A is a minimum? The circumference of the circle is cm. Give your answer to two decimal places

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
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### Problem Statement

You have a wire that is 59 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum?

**The circumference of the circle is \( \_\_\_\_\_ \) cm.**

*Give your answer to two decimal places.*
Transcribed Image Text:### Problem Statement You have a wire that is 59 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? **The circumference of the circle is \( \_\_\_\_\_ \) cm.** *Give your answer to two decimal places.*
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