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SVP
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Joined: 16 Jul 2009
Posts: 1508

Kudos [?]: 1391 [0], given: 2

Schools: CBS
WE 1: 4 years (Consulting)
circle [#permalink]

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New post 08 Aug 2009, 07:11
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Kudos [?]: 1391 [0], given: 2

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Joined: 01 Aug 2009
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Re: circle [#permalink]

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New post 08 Aug 2009, 08:09
The OA is correct.

Basically, the question is asking:
Area(circular glass piece + metal frame) - Area (circular glass piece)

Radius of medallion is given as r cm (note that medallion includes the glass piece and the metal frame),
therefore, Area(circular glass piece + metal frame) = \(PI(r)^2\)

Width of metal frame is s cm, therefore the radius of glass piece only become, (r-s) cm
Area (circular glass piece) = \(PI(r-s)^2\)

Giving us:
\(PI(r)^2\) - \(PI(r-s)^2\) = \(PI(r^2 - (r-s)^2)\) = \(PI*S(2r-s)\)
_________________

The three most significant times in your life are:
1. When you fall in love
2. The birth of your first child
3. When you prepare for your GMAT

Kudos [?]: 18 [0], given: 3

SVP
SVP
avatar
Joined: 16 Jul 2009
Posts: 1508

Kudos [?]: 1391 [0], given: 2

Schools: CBS
WE 1: 4 years (Consulting)
Re: circle [#permalink]

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New post 08 Aug 2009, 09:10
scarish wrote:
The OA is correct.

Basically, the question is asking:
Area(circular glass piece + metal frame) - Area (circular glass piece)

Radius of medallion is given as r cm (note that medallion includes the glass piece and the metal frame),
therefore, Area(circular glass piece + metal frame) = \(PI(r)^2\)

Width of metal frame is s cm, therefore the radius of glass piece only become, (r-s) cm
Area (circular glass piece) = \(PI(r-s)^2\)

Giving us:
\(PI(r)^2\) - \(PI(r-s)^2\) = \(PI(r^2 - (r-s)^2)\) = \(PI*S(2r-s)\)


Why does the medallion include the metal frame?

PS: i love your signature
_________________

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800 is the limit


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Kudos [?]: 1391 [0], given: 2

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Joined: 01 Aug 2009
Posts: 29

Kudos [?]: 18 [0], given: 3

Location: Australia
Re: circle [#permalink]

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New post 09 Aug 2009, 04:03
noboru wrote:
Why does the medallion include the metal frame?

PS: i love your signature

Because the question says:
"...circular medallion made of a circular piece of coloured glass surrounded by a metal frame..."

So the question is defining medallion made up of two component parts...round glass peice and the metal frame...
Hope it helped..
Cheers.
_________________

The three most significant times in your life are:
1. When you fall in love
2. The birth of your first child
3. When you prepare for your GMAT

Kudos [?]: 18 [0], given: 3

Re: circle   [#permalink] 09 Aug 2009, 04:03
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