Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 31 Aug 2016, 19:56

### 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 two pieces.

Author Message
TAGS:

### Hide Tags

Director
Joined: 06 Feb 2006
Posts: 898
Followers: 2

Kudos [?]: 96 [0], given: 0

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

### Show Tags

28 Oct 2006, 03:25
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

66% (02:42) correct 34% (01:23) wrong based on 145 sessions

### HideShow timer Statistics

A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with 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?

A. $$\pi*r^2$$
B. $$\pi*r^2 + 10$$
C. $$\pi*r^2 + \frac{1}{4}*\pi^2*r^2$$
D. $$\pi*r^2 + (40 - 2\pi*r)^2$$
E. $$\pi*r^2 + (10 - \frac{1}{2}\pi*r)^2$$

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-thin-piece-of-paper-40-mt-long-106671.html
[Reveal] Spoiler: OA
Senior Manager
Joined: 30 Aug 2006
Posts: 374
Followers: 3

Kudos [?]: 56 [0], given: 0

### Show Tags

28 Oct 2006, 03:54
E

((40 - 2pir)/4)^2 + pir^2

(10 - 1/2pir) ^2 + pir^2
Manager
Joined: 21 Sep 2012
Posts: 237
Followers: 1

Kudos [?]: 290 [0], given: 63

Re: A thin piece of wire 40 meters long is cut into two pieces. [#permalink]

### Show Tags

28 Nov 2012, 01:41
Is there any other way to solve this question?
Math Expert
Joined: 02 Sep 2009
Posts: 34527
Followers: 6313

Kudos [?]: 80121 [2] , given: 10027

Re: A thin piece of wire 40 meters long is cut into two pieces. [#permalink]

### Show Tags

28 Nov 2012, 03:20
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
nelz007 wrote:
Is there any other way to solve this question?

A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with 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?

A. $$\pi*r^2$$
B. $$\pi*r^2 + 10$$
C. $$\pi*r^2 + \frac{1}{4}*\pi^2*r^2$$
D. $$\pi*r^2 + (40 - 2\pi*r)^2$$
E. $$\pi*r^2 + (10 - \frac{1}{2}\pi*r)^2$$

The area of a circle will be - $$\pi{r^2}$$ and $$2\pi{r}$$ meters of wire will be used;
There will be $$40-2\pi{r}$$ meters of wire left for a square. Side of this square will be $$\frac{40-2\pi{r}}{4}=10-\frac{\pi{r}}{2}$$, hence the area of the square will be $$(10-\frac{\pi{r}}{2})^2$$.

The total area will be - $$\pi{r^2}+(10-\frac{\pi{r}}{2})^2$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-thin-piece-of-paper-40-mt-long-106671.html
_________________
Re: A thin piece of wire 40 meters long is cut into two pieces.   [#permalink] 28 Nov 2012, 03:20
Similar topics Replies Last post
Similar
Topics:
1 A thin piece of cable 90 meters long is cut into two pieces. 2 12 Nov 2014, 19:48
81 A thin piece of wire 40 meters long is cut into two pieces. 27 21 Dec 2010, 08:20
4 A thin piece of wire 40 meters long is cut into two pieces. One piece 4 15 Jun 2009, 00:35
5 A 5 meter long wire is cut into two pieces. If the longer pi 5 12 Oct 2008, 06:30
28 A thin piece of wire 40 meters long is cut into two pieces. 6 15 Oct 2006, 00:10
Display posts from previous: Sort by