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

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

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New post Updated on: 02 Nov 2018, 04:23
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A
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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
GeometryProblem.PNG [ 11.91 KiB | Viewed 938 times ]

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Originally posted by pushpitkc on 02 Nov 2018, 04:22.
Last edited by Bunuel on 02 Nov 2018, 04:23, edited 1 time in total.
EDITED.
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Re: What is the area of the circular region with center O shown in the  [#permalink]

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New post 02 Nov 2018, 04:38
Length of the radius would be 50, Thus area will be 2500pi

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New post 17 Jan 2019, 07:19
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

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Re: What is the area of the circular region with center O shown in the  [#permalink]

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New post 19 Jan 2019, 19:08
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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New post 20 Jan 2019, 08:50
pushpitkc wrote:
Image

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   [#permalink] 20 Jan 2019, 08:50
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