GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Dec 2019, 16:01

### 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

# If P is a sector in circle of radius 6, what is the area of the smalle

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59730
If P is a sector in circle of radius 6, what is the area of the smalle  [#permalink]

### Show Tags

09 Sep 2018, 08:04
2
7
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:40) correct 44% (01:50) wrong based on 88 sessions

### HideShow timer Statistics

If P is a sector in circle of radius 6, what is the area of the smaller sector?

(1) The circumference of the circle from which the sector is taken is 6 times the arc length of the sector.
(2) The perimeter of the sector is 12 + 2π

_________________
Senior Manager
Joined: 21 Jun 2017
Posts: 338
Location: India
Concentration: Finance, Economics
Schools: IIM
GPA: 3
WE: Corporate Finance (Commercial Banking)
Re: If P is a sector in circle of radius 6, what is the area of the smalle  [#permalink]

### Show Tags

01 Oct 2018, 08:09
1
Area of a sector is give by (angle subtended/360)*pi*r^2 . Given :r
Rephrasing: What is the central angle ?

1. 2pi*r = 6* (angle subtended/360)*pi*r^2. We can find the central angle subtended. Sufficient.

2. Perimeter of sector is 2r + arc length ----> arc length = 2pi
again, arc length is (angle subtended/360)*2pi*r. We can find angle subtended.

Sufficient.
Manager
Joined: 05 Feb 2016
Posts: 167
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: If P is a sector in circle of radius 6, what is the area of the smalle  [#permalink]

### Show Tags

09 Feb 2019, 09:33
1
Bunuel wrote:
If P is a sector in circle of radius 6, what is the area of the smaller sector?

(1) The circumference of the circle from which the sector is taken is 6 times the arc length of the sector.
(2) The perimeter of the sector is 12 + 2π

Area of a sector is give by $$(angle subtended/360)*pi*r^2$$ . Given :r
Rephrasing: What is the angle ?

1. $$2π*r = 6* (angle /360)*π*r^2$$. We can find the angle . Sufficient.

2. Perimeter of sector is => 2r + arc length =12 + 2π----> arc length = 2π
again, arc length is $$(angle subtended/360)*2π*r.$$ We can find angle subtended.

Sufficient.
Re: If P is a sector in circle of radius 6, what is the area of the smalle   [#permalink] 09 Feb 2019, 09:33
Display posts from previous: Sort by