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

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Bunuel
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If the lines AC and BC shown in the picture touch the circle with cent [#permalink] New post   09 Sep 2018, 08:54
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81% (01:48) correct 19% (01:37) wrong based on 62 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.


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Re: If the lines AC and BC shown in the picture touch the circle with cent [#permalink] New post   09 Sep 2018, 19:50
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=43459[img][/img][/img]
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.


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image010.gif


Hi Bunuel,

The attachment doesn't seem to be getting displayed correctly. Could you re-upload it please?
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Re: If the lines AC and BC shown in the picture touch the circle with cent [#permalink] New post   09 Sep 2018, 20:35
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Shruti0805 wrote:
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=43459[img][/img][/img]
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.


Show Spoiler
Attachment:
image010.gif


Hi Bunuel,

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

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Done. Thank you.
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Re: If the lines AC and BC shown in the picture touch the circle with cent [#permalink] New post   09 Sep 2018, 21:13
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.

Answer E

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Re: If the lines AC and BC shown in the picture touch the circle with cent [#permalink] New post   19 Dec 2023, 01:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the lines AC and BC shown in the picture touch the circle with cent [#permalink]
19 Dec 2023, 01:57
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