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06 May 2021, 01:30
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C
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Difficulty:
5%
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Question Stats:
92% (00:58) correct
8%
(01:22)
wrong
based on 83
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If in the figure above, AB is tangent to the circle centered at C, what is the area of triangle ABC?
(1) AB=10
(2) The circumference of the circle is 15.
Attachment:
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07 May 2021, 01:15
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Bunuel
Since AB is tangent to the circle, then radius from C to the tangent point is perpendicular to AB, therefore the area is 1/2*height*AB = 1/2*radius*AB.
First statement gives AB and second statement gives the radius, so together the statements are sufficient to get the area.
Answer: C.
Hope it helps.
General Discussion
06 May 2021, 02:39
Kudos
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If in the figure above, AB is tangent to the circle centered at C, what is the area of triangle ABC?
Stat1: AB=10
Not sufficient, as we don't have value of radius.
Stat2: The circumference of the circle is 15.
Not sufficient, we need side value of triangle ABC also.
Combining both, area triangle ABC= 1/2 * Base * height; we have base = AB and radius is known from stat2. Sufficient.
Note- Here, height = Radius of circle.
So, I think C.
Stat1: AB=10
Not sufficient, as we don't have value of radius.
Stat2: The circumference of the circle is 15.
Not sufficient, we need side value of triangle ABC also.
Combining both, area triangle ABC= 1/2 * Base * height; we have base = AB and radius is known from stat2. Sufficient.
Note- Here, height = Radius of circle.
So, I think C.
