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# What is the area of the circular region with center O shown in the

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
What is the area of the circular region with center O shown in the  [#permalink]

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Updated on: 02 Nov 2018, 03:23
1
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:36) correct 11% (00:31) wrong based on 44 sessions

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What is the area of the circular region with center O shown in the figure above?

(A) 100 Π
(B) 900 Π
(C) 1,600 Π
(D) 2,500 Π
(E) 4,900 Π

Attachment:

GeometryProblem.PNG [ 11.91 KiB | Viewed 481 times ]

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Originally posted by pushpitkc on 02 Nov 2018, 03:22.
Last edited by Bunuel on 02 Nov 2018, 03:23, edited 1 time in total.
EDITED.
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Joined: 27 Jun 2015
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Re: What is the area of the circular region with center O shown in the  [#permalink]

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02 Nov 2018, 03:38
Length of the radius would be 50, Thus area will be 2500pi

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Joined: 15 Nov 2017
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What is the area of the circular region with center O shown in the  [#permalink]

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17 Jan 2019, 06:19
Is there a specific formula used for obtaining 50 as the result for the radius (for this and other more advanced versions of this problem)?
Thanks!
vishumangal wrote:
Length of the radius would be 50, Thus area will be 2500pi

Posted from my mobile device
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Joined: 15 Feb 2018
Posts: 204
Re: What is the area of the circular region with center O shown in the  [#permalink]

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19 Jan 2019, 18:08
KHow
Pythagorean formula can be used (hypotenuse).
Distance of a line formula can be used (which is just pythagorean formula really)

Giving the thread a bump in case there are others!
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Re: What is the area of the circular region with center O shown in the  [#permalink]

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20 Jan 2019, 07:50
pushpitkc wrote:

What is the area of the circular region with center O shown in the figure above?

(A) 100 Π
(B) 900 Π
(C) 1,600 Π
(D) 2,500 Π
(E) 4,900 Π

Attachment:
GeometryProblem.PNG

Distance from the center to the point is $$\sqrt{( 40 - 0 )^2 + ( 30 - 0 )^2} = 50$$

So, Area of the circle is $$50^2Π = 2,500 Π$$ , thus Answer must be (D)
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Re: What is the area of the circular region with center O shown in the &nbs [#permalink] 20 Jan 2019, 07:50
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