It is currently 19 Nov 2017, 11:06

### 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

Kudos [?]: 12 [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

Kudos [?]: 12 [0], given: 0

Manager
Joined: 18 Oct 2005
Posts: 79

Kudos [?]: 3 [2], given: 0

Location: Hong Kong

### 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

Kudos [?]: 3 [2], given: 0

Manager
Joined: 19 Sep 2005
Posts: 110

Kudos [?]: 12 [0], given: 0

### Show Tags

08 Nov 2005, 22:42
Correct, OA is E.
Wow, you made it look so easy.

Kudos [?]: 12 [0], given: 0

08 Nov 2005, 22:42
Display posts from previous: Sort by

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

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.