Circle and Square

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gmattesttaker2: Legendary Member; Posts: 641; Joined: Tue Feb 14, 2012 3:52 pmFollowed by: 8 members; Thanked: 11 times

by gmattesttaker2 » Fri Feb 21, 2014 11:34 pm

Hello,

Can you please tell me if my answer is correct here:

In the figure above, the circle is inscribed in the square. If the square has side of length 100. then the perimeter of the square is approximately how much greater than the circumference of
the circle?

A) 9,686
B) 2150
C) 243
D) 100
E) 86

I am getting 100

Thanks,
Sri

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Source: Beat The GMAT — Problem Solving | Fri Feb 21, 2014 11:34 pm

Uva@90: Master | Next Rank: 500 Posts; Posts: 490; Joined: Thu Jul 04, 2013 7:30 amFollowed by: 5 members; Location: Chennai, India; Thanked: 83 times

by Uva@90 » Sat Feb 22, 2014 12:53 am

gmattesttaker2 wrote:Hello,

Can you please tell me if my answer is correct here:

In the figure above, the circle is inscribed in the square. If the square has side of length 100. then the perimeter of the square is approximately how much greater than the circumference of
the circle?

A) 9,686
B) 2150
C) 243
D) 100
E) 86

I am getting 100

Thanks,
Sri

Sri,
Is ans E ?

This is how I did,
Perimeter of Square is 4*100 =400
Perimeter of square is 2*3.14*r
where r = d/2(d= 100) =50
so Perimeter of square =2*3.14*50 =314

400-314 = 86
Hence ans is E

Regards,
Uva.

Known is a drop Unknown is an Ocean

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theCodeToGMAT: Legendary Member; Posts: 1556; Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members; Thanked: 448 times; GMAT Score:650

by theCodeToGMAT » Sat Feb 22, 2014 4:00 am

Indeed, the answer seems to be {E}

Side of Square = 100
So, radius = 50
Circumference = 2 * pi * 50 = 100 * 3.14 = 314
Perimeter = 100 * 4 = 400
Difference = 400 - 314 = 86

R A H U L

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gmattesttaker2: Legendary Member; Posts: 641; Joined: Tue Feb 14, 2012 3:52 pmFollowed by: 8 members; Thanked: 11 times

by gmattesttaker2 » Sat Feb 22, 2014 9:43 am

Uva@90 wrote:
gmattesttaker2 wrote:Hello,

Can you please tell me if my answer is correct here:

In the figure above, the circle is inscribed in the square. If the square has side of length 100. then the perimeter of the square is approximately how much greater than the circumference of
the circle?

A) 9,686
B) 2150
C) 243
D) 100
E) 86

I am getting 100

Thanks,
Sri
Sri,
Is ans E ?

This is how I did,
Perimeter of Square is 4*100 =400
Perimeter of square is 2*3.14*r
where r = d/2(d= 100) =50
so Perimeter of square =2*3.14*50 =314

400-314 = 86
Hence ans is E

Regards,
Uva.

Hello Uva,

Thanks for your reply. You are right. The answer is E. Thanks for the explanation. I rounded 3.14 to 3. I think that's where I was going wrong. Thanks again.

Best Regards,
Sri

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