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The figure above shows a cord around two circular disks. If

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Director
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The figure above shows a cord around two circular disks. If [#permalink] New post 19 Oct 2006, 09:35
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Question Stats:

53% (02:27) correct 47% (01:23) wrong based on 65 sessions
Attachment:
Circles.png
Circles.png [ 2.05 KiB | Viewed 777 times ]
The figure above shows a cord around two circular disks. If the radii of the two disks are 80 centimeters and 60 centimeters, respectively, what is the total length, in centimeters, of the cord?

(A) 210π
(B) 210π+ 280
(C) 280π
(D) 280π + 80
(E) 280π+ 280
[Reveal] Spoiler: OA

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Senior Manager
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 [#permalink] New post 19 Oct 2006, 09:59
The answer is (B).

Since the tangents form squares with the radii.

the total length as tangents = 2*80+2*60 = 280

and the total lenght wound around the circles = 270deg/360deg * 2*pi*80
=120pi

for the second circle similarly 90pi
therfore 210pi+280
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 [#permalink] New post 19 Oct 2006, 10:41
Oh yes, this one was obvious....

Misinterpreted the question a bit....
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Re: PS #3 - 1000Q [#permalink] New post 10 Sep 2011, 06:02
important thing where i got stuck...
i found this on another site..its really help full.



I feel we are not supposed to take the literal meaning of the term "cord" {lineseg that lies inside the cirlce with its ends lieing on the circle"} as its meaning but as a piece of wire/some material that goes around the 2 circles.

so.........
The answer is (B).

Since the tangents form squares with the radii.

the total length as tangents = 2*80+2*60 = 280

and the total lenght wound around the circles = 270deg/360deg * 2*pi*80
=120pi

for the second circle similarly 90pi
therfore 210pi+280
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Re: The figure above shows a cord around two circular disks. If [#permalink] New post 02 May 2014, 03:25
bunuel, could you please explain this.

thanks.
Re: The figure above shows a cord around two circular disks. If   [#permalink] 02 May 2014, 03:25
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