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Which of the following is closest to the area enclosed by a circular

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Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 11 Sep 2018, 23:49
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Which of the following is closest to the area enclosed by a circular ring, if the distance around the outer edge of the ring is 44 feet?


A. 175 square feet
B. 155 square feet
C. 107 square feet
D. 49 square feet
E. 21 square feet

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Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 12 Sep 2018, 01:33
Bunuel wrote:
Which of the following is closest to the area enclosed by a circular ring, if the distance around the outer edge of the ring is 44 feet?


A. 175 square feet
B. 155 square feet
C. 107 square feet
D. 49 square feet
E. 21 square feet


Distance of the outer edge of the circular ring=circumference of the circular ring =2*\(pi\)*r=44
Or, r=22/\(pi\)

So, area of the circular ring =\(\pi\)*\(\frac{22^2}{\pi^2}\)=155(Approx.)

Ans. (B)
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Re: Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 12 Sep 2018, 06:22
Bunuel wrote:
Which of the following is closest to the area enclosed by a circular ring, if the distance around the outer edge of the ring is 44 feet?


A. 175 square feet
B. 155 square feet
C. 107 square feet
D. 49 square feet
E. 21 square feet

\(2πr = 44\)

Or, \(2*\frac{22}{7}*r = 44\)

So, \(r = 7\)

Thus, The Area of the circle is \(πr^2 = \frac{22}{7}*7*7 = 154\), Thus Answer must be (B) 155
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Re: Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 14 Sep 2018, 08:03
Bunuel wrote:
Which of the following is closest to the area enclosed by a circular ring, if the distance around the outer edge of the ring is 44 feet?


A. 175 square feet
B. 155 square feet
C. 107 square feet
D. 49 square feet
E. 21 square feet


Since circumference = 2πr:

2πr = 44

πr = 22

r = 22/π

If we use 22/7 as the approximate value of π, we have r = 22/(22/7) = 7.

Since area = πr^2, the area is approximately (22/7)(7^2) = 22 x 7 = 154 , which is closest to 155 square feet.

Answer: B
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Re: Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 14 Sep 2018, 11:09
Which of the following is closest to the area enclosed by a circular ring, if the distance around the outer edge of the ring is 44 feet?


A. 175 square feet
B. 155 square feet
C. 107 square feet
D. 49 square feet
E. 21 square feet


2*PI*R=44

R=7.

7*7*22/7=154, aprox equi to 155,option B.
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Re: Which of the following is closest to the area enclosed by a circular  [#permalink]

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New post 14 Sep 2018, 11:12
2*pi*r=44
So r=7
Hence pi*r*r =154which is approximately equal to choice B
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Re: Which of the following is closest to the area enclosed by a circular &nbs [#permalink] 14 Sep 2018, 11:12
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