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If the area of a circle is 20 in^2, then what is the approximate diame

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If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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New post 08 Mar 2019, 01:20
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A
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C
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60% (01:24) correct 40% (01:03) wrong based on 52 sessions

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Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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New post 08 Mar 2019, 01:25
Bunuel is the area 20 inch^2?

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New post 08 Mar 2019, 01:26
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Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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New post 08 Mar 2019, 03:48
Bunuel wrote:
If the area of a circle is 20 in^2, then what is the approximate diameter of the circle?

A. 2 inches
B. 3 inches
C. 5 inches
D. 6 inches
E. 10 inches


area = pi * r^2 =20
r= 2√5/pi
diameter = 4√5/pi
~ 3 inches
IMO B
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Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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New post 08 Mar 2019, 18:49
Bunuel wrote:
If the area of a circle is 20 in^2, then what is the approximate diameter of the circle?

A. 2 inches
B. 3 inches
C. 5 inches
D. 6 inches
E. 10 inches


Area \(\pi r^2 = 20 in^2\)
\(\pi\) is equal to ~3

So, \(2r = 2\sqrt{\frac{20}{3}}\)

Notice the rounding of the values below-
\(2\sqrt{\frac{20}{3}} =~ \sqrt{4*6} =~ 5\)

C is our answer.
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Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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New post 09 Mar 2019, 13:51
πd^2/4 = 20

d^2 = 80/π = 80*7/22 = 560/22 = 280/11 = 25.4

d= √25 = 5

Ans C

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Re: If the area of a circle is 20 in^2, then what is the approximate diame   [#permalink] 09 Mar 2019, 13:51
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