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# In the figure above, triangle RST is inscribed in a circle.

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In the figure above, triangle RST is inscribed in a circle. [#permalink]  30 May 2016, 15:59
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Question Stats:

63% (00:33) correct 36% (00:45) wrong based on 60 sessions
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#GREpracticequestion In the figure above, triangle RST is inscribed in a circle.jpg [ 15.04 KiB | Viewed 1659 times ]

In the figure above, triangle RST is inscribed in a circle. The measure of angle RST is greater than 90°, and the area of the circle is $$25\pi$$.

 Quantity A Quantity B The length of line segment RT 10

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question: 5
Page: 100
[Reveal] Spoiler: OA

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Re: In the figure above, triangle RST is inscribed in a circle. [#permalink]  01 Jun 2016, 14:37
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Explanation

This question tests a nice circle property that says: if an inscribed angle hold/contains the diameter of the circle, then that inscribed angle = 90 degrees
For more on this, see the following video: https://www.greenlighttestprep.com/modu ... /video/881

Since, the angle is NOT 90 degrees, we know that segment RT is NOT the diameter.
Since the diameter is the longest possible chord in a circle, we know that segment RT must be SHORTER than the diameter of the circle.
Since the circle's diameter is 10, we can be certain that the length of segment RT is LESS THAN 10.

Cheers,
Brent
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Re: In the figure above, triangle RST is inscribed in a circle. [#permalink]  25 Dec 2018, 04:56
But the question has an obvious flaw. It says that angle RST is > 90 , which means the line segment RT will form an angle greater than 180 at the centre , which can never be possible.
Re: In the figure above, triangle RST is inscribed in a circle.   [#permalink] 25 Dec 2018, 04:56
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