GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The area of circle C in square feet is equal to its circumference in f
[#permalink]
16 Jun 2021, 02:12
16 Jun 2021, 02:12
Expert Reply
00:00
Question Stats:
91% (00:36) correct
8% (00:21) wrong based on 23 sessions
Hide Show timer Statistics
The area of circle C in square feet is equal to its circumference in feet. What is the circle’s diameter?
Show: :: OA
4
Re: The area of circle C in square feet is equal to its circumference in f
[#permalink]
16 Jun 2021, 02:48
16 Jun 2021, 02:48
1
given
area = circumference
\(πr^2 = 2πr\)
r=2
diameter = 4
area = circumference
\(πr^2 = 2πr\)
r=2
diameter = 4
Retired Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: The area of circle C in square feet is equal to its circumference in f
[#permalink]
10 Dec 2021, 09:25
10 Dec 2021, 09:25
1
Area of Circle with radius r = \(\pi r^2\)
Circumference of a Circle with radius r = \(2 \pi r\)
Area of Circle = Circumference
=> \(\pi r^2\) = \(2 \pi r\)
=> \(r^2\) = 2r
=> \(r^2\) - 2r = 0
=> r (r-2) = 0
=> r = 0 or 2
r cannot be 0 => r = 2
Diameter of Circle with Radius r = 2r
=> Diameter = 2*2 = 4
Hope it helps!
Watch the following video to Learn Basics of Circles
Circumference of a Circle with radius r = \(2 \pi r\)
Area of Circle = Circumference
=> \(\pi r^2\) = \(2 \pi r\)
=> \(r^2\) = 2r
=> \(r^2\) - 2r = 0
=> r (r-2) = 0
=> r = 0 or 2
r cannot be 0 => r = 2
Diameter of Circle with Radius r = 2r
=> Diameter = 2*2 = 4
Hope it helps!
Watch the following video to Learn Basics of Circles
