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# Square PQRS is tilted 90 degrees anticlockwise direction around the po

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Intern
Joined: 10 Nov 2017
Posts: 13
Square PQRS is tilted 90 degrees anticlockwise direction around the po  [#permalink]

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06 Oct 2018, 10:55
1
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:38) correct 40% (01:58) wrong based on 18 sessions

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Square PQRS is tilted 90 degrees anticlockwise direction around the point P, so that points Q,R,S reach the points Q',R',S' respectively. What is the distance covered by the point R if the length of PQ is 2.

A.$$(\pi * \sqrt{2})/3$$
B.$$(\pi * \sqrt{2})/2$$
C.$$\pi \sqrt{2}$$
D.$$\pi \sqrt{3}$$
E.$$2* \pi \sqrt{3}$$
Intern
Joined: 15 Jan 2014
Posts: 34
Location: India
Concentration: Technology, Strategy
Schools: Haas '19
GMAT 1: 650 Q49 V30
GPA: 2.5
WE: Information Technology (Consulting)
Re: Square PQRS is tilted 90 degrees anticlockwise direction around the po  [#permalink]

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06 Oct 2018, 13:02
Below figure shows the rotation and diagonal values.

Attachment:

Untitled.png [ 4.82 KiB | Viewed 373 times ]

We need to calculate the value of Arc RR' .
$$\frac{Arc RR'}{Circumference of circle}$$= $$\frac{Angle at R'PR}{360}$$ =$$\frac{Area of sector}{Area of circle}$$

$$\frac{Arc RR'}{2\pi2\sqrt{2}}=\frac{90}{360}$$ ==> $$\pi\sqrt{2}$$

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Re: Square PQRS is tilted 90 degrees anticlockwise direction around the po   [#permalink] 06 Oct 2018, 13:02
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