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

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Math Expert
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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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08 Mar 2019, 01:20
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45% (medium)

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

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Posts: 58381
Re: If the area of a circle is 20 in^2, then what is the approximate diame  [#permalink]

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08 Mar 2019, 01:26
sumi747 wrote:
Bunuel is the area 20 inch^2?

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Yes.
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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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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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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-
$$2\sqrt{\frac{20}{3}} =~ \sqrt{4*6} =~ 5$$

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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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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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