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# If the area of a circle is 25π, the diameter of the circle is

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Math Expert
Joined: 02 Sep 2009
Posts: 43380
If the area of a circle is 25π, the diameter of the circle is [#permalink]

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14 Nov 2017, 22:54
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88% (00:08) correct 12% (00:06) wrong based on 33 sessions

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If the area of a circle is 25π, the diameter of the circle is

(A) 5
(B) 10
(C) 20
(D) 25
(E) 50
[Reveal] Spoiler: OA

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If the area of a circle is 25π, the diameter of the circle is [#permalink]

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14 Nov 2017, 23:34
Bunuel wrote:
If the area of a circle is 25π, the diameter of the circle is

(A) 5
(B) 10
(C) 20
(D) 25
(E) 50

Since the area of the triangle is 25π(which is $$π * radius^2$$),
the radius of the circle can be calculated as follows :
$$π * radius^2 = 25π = > radius = \sqrt{25} = 5$$

Therefore, the diameter, which is twice the radius, is 10(Option B)
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Re: If the area of a circle is 25π, the diameter of the circle is [#permalink]

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15 Nov 2017, 07:56
Bunuel wrote:
If the area of a circle is 25π, the diameter of the circle is

(A) 5
(B) 10
(C) 20
(D) 25
(E) 50

$$πr^2 = 25π$$

Or, $$r^2 = 25$$

So, $$r = 5$$

Thus, diameter will be (B) 10 , (answer )
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Abhishek....

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Re: If the area of a circle is 25π, the diameter of the circle is   [#permalink] 15 Nov 2017, 07:56
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