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.
AC+BD or the circumference of the circle
[#permalink]
24 Nov 2020, 08:17
24 Nov 2020, 08:17
Expert Reply
00:00
Question Stats:
81% (00:38) correct
18% (00:22) wrong based on 32 sessions
Hide Show timer Statistics
Attachment:
GRE The circumference of the circle with center O.jpg [ 10.05 KiB | Viewed 1517 times ]
Quantity A |
Quantity B |
AC+BD |
The circumference of the circle with center O |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: AC+BD or the circumference of the circle
[#permalink]
24 Nov 2020, 11:00
24 Nov 2020, 11:00
1
option a says OA+OC+OB+OD and the sum is 4r (r is radius) and option B says 2 pai (3.1416) r.
now divide both sides by 2r. and u will be left with in A 2 and in B 3.1416 (pai). (dont know how to type pai) (sorry for that).
so. b is greater.
now divide both sides by 2r. and u will be left with in A 2 and in B 3.1416 (pai). (dont know how to type pai) (sorry for that).
so. b is greater.
Re: AC+BD or the circumference of the circle
[#permalink]
27 Jan 2021, 09:19
27 Jan 2021, 09:19
1
While there is no common information given about the circle and any of its components, the information given in statement 2 i.e. O is the centre of the circle is actually common information.
This helps us understand that AC and BD are the diameters of the given circle.
If the radius of the shown circle be 'r' units, then diameter = 2r units.
Quantity A = AC + BD = 2r + 2r = 4r units
Quantity B = Circumference of circle = 2*pi*r units = 6.28r units, since the approx value of pi = 3.14
Quantity B is always greater. The correct answer option should be B.
Cheers
This helps us understand that AC and BD are the diameters of the given circle.
If the radius of the shown circle be 'r' units, then diameter = 2r units.
Quantity A = AC + BD = 2r + 2r = 4r units
Quantity B = Circumference of circle = 2*pi*r units = 6.28r units, since the approx value of pi = 3.14
Quantity B is always greater. The correct answer option should be B.
Cheers
