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11 Jul 2019, 01:25
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
75% (00:41) correct
25%
(00:57)
wrong
based on 70
sessions
History
Date
Time
Result
Not Attempted Yet
Triangle ABC is inscribed in a circle as shown above. What is the radius of the circle?
(1) AB is a diameter of the circle.
(2) AC = 3 and BC = 4.
Attachment:
2019-07-11_1223.png [ 13.22 KiB | Viewed 3553 times ]
11 Jul 2019, 01:44
Kudos
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Bunuel
S1:
AB is diameter of the circle
No value of AB is provided
NOT SUFFICIENT
S2:
AC=3 and BC=4
No information is provided for AB.
NOT SUFFICIENT
S1&S2:
Since AB is diameter of the circle, AB will form right angle on a point on the circumference (C)
\(=> AB^2 = AC^2 + BC^2\)
\(=> AB ^2 = 3^2 + 4^2\)
=> AB = 5 since AB=-5 is not feasible.
\(Radius = \frac{Diameter}{2}= \frac{5}{2} =2.5\)
SUFFICIENT
IMO C
11 Jul 2019, 03:50
Kudos
Bookmarks
Answer C
Option 1: No dimention is given so cannot calculate radius.
Not sufficient.
Option 2: Dimensions given but not sure about angle C to calculate radius.
Not Sufficient.
Combination:
Dimensions given and if AB is diameter then angle C is 90degree we can calculate radius.( No point doing calculation)
Sufficient.
Answer C
Posted from my mobile device
Option 1: No dimention is given so cannot calculate radius.
Not sufficient.
Option 2: Dimensions given but not sure about angle C to calculate radius.
Not Sufficient.
Combination:
Dimensions given and if AB is diameter then angle C is 90degree we can calculate radius.( No point doing calculation)
Sufficient.
Answer C
Posted from my mobile device
