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# If the lines AC and BC shown in the picture touch the circle with cent

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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09 Sep 2018, 07:54
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:44) correct 21% (01:16) wrong based on 31 sessions

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If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.

Attachment:

image010.gif [ 2.78 KiB | Viewed 598 times ]

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Manager
Joined: 24 Dec 2016
Posts: 96
Location: India
Concentration: Finance, General Management
WE: Information Technology (Computer Software)
Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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09 Sep 2018, 18:50
Bunuel wrote:
If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.

Attachment:
image010.gif

Hi Bunuel,

The attachment doesn't seem to be getting displayed correctly. Could you re-upload it please?
Math Expert
Joined: 02 Sep 2009
Posts: 52971
Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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09 Sep 2018, 19:35
Shruti0805 wrote:
Bunuel wrote:
If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.

Attachment:
image010.gif

Hi Bunuel,

The attachment doesn't seem to be getting displayed correctly. Could you re-upload it please?

_______________________
Done. Thank you.
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Manager
Joined: 11 Jul 2016
Posts: 63
Location: India
Concentration: General Management, Technology
GPA: 4
Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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09 Sep 2018, 20:13
Got this wrong at first attempt.

My understanding now.

Option1: Area of AOC alone is not sufficient to deduce radius/AO. Additional information such as any side/angle should have been provided. Not sufficient

Option2: This is not at all a new information. From circle theorms we already knew that such triangles are always Right angle triangles. Not sufficient.

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Re: If the lines AC and BC shown in the picture touch the circle with cent   [#permalink] 09 Sep 2018, 20:13
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# If the lines AC and BC shown in the picture touch the circle with cent

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