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bblast: Legendary Member; Posts: 1077; Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members; Thanked: 118 times; GMAT Score:710

by bblast » Thu Jan 13, 2011 7:23 am

If a circle is inscribed in a square, then the area outside the circle is what percent of the total area of the square (approximately)?

* 14%
* 18%
* 22%
* 28%
* 30%

[spoiler]OA C

if i take side of square 10 and r of circle 5 arrive at A.

[/spoiler]

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Source: Beat The GMAT — Problem Solving | Thu Jan 13, 2011 7:23 am

anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Thu Jan 13, 2011 7:40 am

bblast wrote:If a circle is inscribed in a square, then the area outside the circle is what percent of the total area of the square (approximately)?

* 14%
* 18%
* 22%
* 28%
* 30%

[spoiler]OA C

if i take side of square 10 and r of circle 5 arrive at A. [/spoiler]

Using your example,
area of square = 100
area of circle = pi*25 ~= 25*3.1 ~= 77.5

So, area outside square = 100-77.5 ~= 22.5 ~=22 C

Thanks
Anshu

(Every mistake is a lesson learned )

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bblast: Legendary Member; Posts: 1077; Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members; Thanked: 118 times; GMAT Score:710

by bblast » Thu Jan 13, 2011 8:08 am

anshumishra wrote:
bblast wrote:If a circle is inscribed in a square, then the area outside the circle is what percent of the total area of the square (approximately)?

* 14%
* 18%
* 22%
* 28%
* 30%

[spoiler]OA C

if i take side of square 10 and r of circle 5 arrive at A. [/spoiler]
Using your example,
area of square = 100
area of circle = pi*25 ~= 25*3.1 ~= 77.5

So, area outside square = 100-77.5 ~= 22.5 ~=22 C

thanks anshu, made a silly calc mistake, solving so many problems since past few hours, bound to happen

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anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Thu Jan 13, 2011 8:14 am

bblast wrote:
anshumishra wrote:
bblast wrote:If a circle is inscribed in a square, then the area outside the circle is what percent of the total area of the square (approximately)?

* 14%
* 18%
* 22%
* 28%
* 30%

[spoiler]OA C

if i take side of square 10 and r of circle 5 arrive at A. [/spoiler]
Using your example,
area of square = 100
area of circle = pi*25 ~= 25*3.1 ~= 77.5

So, area outside square = 100-77.5 ~= 22.5 ~=22 C
thanks anshu, made a silly calc mistake, solving so many problems since past few hours, bound to happen

Can't agree more. Take some break or read verbal in between.

Thanks
Anshu

(Every mistake is a lesson learned )

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