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Equilater trinagle PQR is formed by joining

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Equilater trinagle PQR is formed by joining [#permalink] New post 16 Mar 2018, 17:07
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30% (00:49) correct 70% (00:57) wrong based on 30 sessions
Attachment:
triangle (2).jpg
triangle (2).jpg [ 17.91 KiB | Viewed 856 times ]


Equilateral triangle PQR is formed by joining center P, Q, and R of the circles. Each pair of circles has exactly one point in common.

Quantity A
Quantity B
The perimeter of triangle PQR
The circumference of the circle with center Q


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.
[Reveal] Spoiler: OA

Last edited by amorphous on 01 Nov 2018, 08:34, edited 2 times in total.
Edited the OA
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 17 Mar 2018, 23:34
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Is the answer B?

A: Let r be the radius of each circle. Each side of the equilateral triangle is 2r, so the perimeter is 6r.

B: Circumference of Q = 2 * 3.14 * r > 6r.

So the answer is B.
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 24 Apr 2018, 18:40
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From given info
Rp + Rq = other two sides of the triangle
So, perimeter will be 3(Rp+Rq)
Now we have to compare
3Rp + 3Rq ? 2 Pi Rq

As we don't know the value of Rp so answer can not be determined.
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 12 May 2018, 06:01
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Should the answer be B for this question?
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 12 May 2018, 10:26
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Sorry for the inconvenience. fixed.

regards
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 13 May 2018, 23:52
Yep the answer is b as the triangle is equilateral
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 15 May 2018, 22:16
Carcass wrote:
Sorry for the inconvenience. fixed.

regards


This is yet to be fixed as the answer placed is B,D. Which exactly is it?
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Re: Equilater trinagle PQR is formed by joining [#permalink] New post 17 May 2018, 00:59
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Emike56 wrote:
Carcass wrote:
Sorry for the inconvenience. fixed.

regards


This is yet to be fixed as the answer placed is B,D. Which exactly is it?


The correct answer is B.

Here's another explanation why. Let's pretend that the radius (r) = 5.
Since the triangle is an equilateral triangle, that means each side of the triangle is 10, or 2 * radius of each circle.


Quantity A = Perimeter of Triangle PQR = 30.
Quantity B = Circumference of Circle with Center Q = 2 * pi * 5. = 10 * 3.14 = 31.4.

Quantity B is greater.

The correct answer is B.
Re: Equilater trinagle PQR is formed by joining   [#permalink] 17 May 2018, 00:59
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