GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 13 Jul 2020, 20:17

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

What is the area of the 144° sector of the circle?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 65241
What is the area of the 144° sector of the circle?  [#permalink]

Show Tags

New post 25 May 2020, 01:42
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

64% (02:02) correct 36% (01:39) wrong based on 41 sessions

HideShow timer Statistics

Competition Mode Question



What is the area of the 144° sector of the circle?


(1) The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.

(2) When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.

_________________
Manager
Manager
avatar
B
Joined: 07 Dec 2019
Posts: 53
Location: India
Concentration: Social Entrepreneurship, Technology
GMAT 1: 630 Q45 V32
Re: What is the area of the 144° sector of the circle?  [#permalink]

Show Tags

New post 25 May 2020, 02:30
1
The answer is D. Each statement is sufficient. To find the area of the sector, we should know the radius of the circle.

1) The first statement talks of a square having area 64cm sq. So the side becomes 8. Since the side (chord) subtends an angle of 90• so the radius becomes 4√2 cm. And the statement is sufficient.

2) here the longest chord is diameter and we get two sides by fixing a vertex on the circumference. This creates an isosceles triangle . The circle has a radius of 4√2 cm.

Posted from my mobile device
SVP
SVP
avatar
D
Joined: 24 Nov 2016
Posts: 1674
Location: United States
Re: What is the area of the 144° sector of the circle?  [#permalink]

Show Tags

New post 25 May 2020, 05:45
1
Quote:
What is the area of the 144° sector of the circle?

(1) The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.

(2) When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.


(1) sufic
square area 64, has side 8
chord subtend angle 90o then,
diamter is diagonal square

(2) sufic
the longest chord circle is diamter
triangle formed using diamter is a right triangle
in this case, isosceles right-triangle

ans (D)
Manager
Manager
avatar
G
Joined: 23 Jan 2020
Posts: 178
GMAT ToolKit User
Re: What is the area of the 144° sector of the circle?  [#permalink]

Show Tags

New post 25 May 2020, 18:52
1
What is the area of the 144° sector of the circle?


(1) The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.

(2) When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.

need to find r
1) chord makes 90 degree on the circle is diameter. so diameter is 8, r=4
sufficient

2) longest chord of the circle is diameter and it is the hyp of the right angled iscoseles triangle, so it should be of 8, r=4.
sufficient

Ans D
GMAT Club Bot
Re: What is the area of the 144° sector of the circle?   [#permalink] 25 May 2020, 18:52

What is the area of the 144° sector of the circle?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne