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Math Expert V
Joined: 02 Sep 2009
Posts: 58381
If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 60% (01:24) correct 40% (01:03) wrong based on 52 sessions

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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

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Manager  S
Joined: 17 May 2018
Posts: 140
Location: India
Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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Bunuel is the area 20 inch^2?

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Math Expert V
Joined: 02 Sep 2009
Posts: 58381
Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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sumi747 wrote:
Bunuel is the area 20 inch^2?

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Yes.
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GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
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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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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
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Joined: 30 Nov 2015
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Location: United States (CO)
WE: Information Technology (Consumer Products)
Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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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.
Manager  P
Joined: 01 Feb 2017
Posts: 243
Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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πd^2/4 = 20

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

d= √25 = 5

Ans C

Posted from my mobile device 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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