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Square PQRS is tilted 90 degrees anticlockwise direction around the po

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

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New post 06 Oct 2018, 10:55
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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.\(2* \pi \sqrt{3}\)
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Re: Square PQRS is tilted 90 degrees anticlockwise direction around the po  [#permalink]

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

Attachment:
Untitled.png
Untitled.png [ 4.82 KiB | Viewed 241 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 &nbs [#permalink] 06 Oct 2018, 13:02
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Square PQRS is tilted 90 degrees anticlockwise direction around the po

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