Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 30 May 2017, 05:18

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A thin piece of wire 40 meters long is cut into 2 pieces. 1

Author Message
Manager
Joined: 19 Sep 2005
Posts: 110
Followers: 1

Kudos [?]: 11 [0], given: 0

A thin piece of wire 40 meters long is cut into 2 pieces. 1 [#permalink]

### Show Tags

08 Nov 2005, 22:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A thin piece of wire 40 meters long is cut into 2 pieces. 1 piece is used to form a circle w/ radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r?

1. Pi *r^2
2. Pi* r^2 + 10
c. Pi * r^2 + 1/4* Pi^2 * r^2
d. Pi * r^2 + (40 - 2* Pi * r)^2
e. Pi * r^2 + (10 - 1/2 * Pi * r)^2
Manager
Joined: 18 Oct 2005
Posts: 79
Location: Hong Kong
Followers: 1

Kudos [?]: 2 [2] , given: 0

### Show Tags

08 Nov 2005, 22:30
2
KUDOS
I choose E.

First component is area of circle. Pi * r^2

Second component should be area of sq.
length left after making circle = 40 - 2*Pi*r
This length will then be used to form a sq with 4 sides. Therefore one side of sq=(40-2*Pi*r)/4
And side * side = area of sq. (10 - 1/2 * Pi * r)^2

1st component + 2nd component = answer
Manager
Joined: 19 Sep 2005
Posts: 110
Followers: 1

Kudos [?]: 11 [0], given: 0

### Show Tags

08 Nov 2005, 22:42
Correct, OA is E.
Wow, you made it look so easy.
08 Nov 2005, 22:42
Display posts from previous: Sort by