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# The figure above shows a circular garden plot with center O surrounded

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
The figure above shows a circular garden plot with center O surrounded  [#permalink]

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27 Feb 2019, 23:46
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:07) correct 21% (02:00) wrong based on 19 sessions

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The figure above shows a circular garden plot with center O surrounded by a circular sidewalk, also with center O. If the area covered by the garden and sidewalk together is 169π and of the garden alone is 144π, what is the value of T ?

A. 1
B. 2
C. 3
D. 5
E. 12.5

Attachment:

2019-02-28_1044.png [ 39.53 KiB | Viewed 282 times ]

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Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: The figure above shows a circular garden plot with center O surrounded  [#permalink]

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28 Feb 2019, 01:54
Ar of garden= pi*r^2= 144*pi
r= 12
Ar of garden + sidewalk= pi*R^2= 169*pi
R= 13
Therefore T= R-r=13-12=1
IMO A

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Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: The figure above shows a circular garden plot with center O surrounded  [#permalink]

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28 Feb 2019, 01:55
Ar of garden= pi*r^2= 144*pi
r= 12
Ar of garden + sidewalk= pi*R^2= 169*pi
R= 13
Therefore T= R-r=13-12=1
IMO A

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Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
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Re: The figure above shows a circular garden plot with center O surrounded  [#permalink]

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28 Feb 2019, 05:59
and radius of large circle = 13
so t= 13-12 ;1
IMO A

Bunuel wrote:

The figure above shows a circular garden plot with center O surrounded by a circular sidewalk, also with center O. If the area covered by the garden and sidewalk together is 169π and of the garden alone is 144π, what is the value of T ?

A. 1
B. 2
C. 3
D. 5
E. 12.5

Attachment:
2019-02-28_1044.png
Re: The figure above shows a circular garden plot with center O surrounded   [#permalink] 28 Feb 2019, 05:59
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