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19 Jun 2014, 04:35
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:20) correct
26%
(01:32)
wrong
based on 168
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
File comment: Circle Radius
Circle- Radius.JPG [ 32.43 KiB | Viewed 4581 times ]
What is the radius of the circle with center A ?Circle- Radius.JPG [ 32.43 KiB | Viewed 4581 times ]
(1) BC = \(2\sqrt{3}\)
(2) Angle BCA has a measure of 30°
19 Jun 2014, 04:58
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What is the radius of the circle with center A ?
(1) BC = \(2\sqrt{3}\). We have the length of a chord, which is clearly insufficient to answer the question. Not sufficient.
(2) Angle BCA has a measure of 30°. Notice that since AB = AC = radius, then triangle ABC is isosceles, which means that angles at B and C are equal. So, we have that angle B = angle C = 30° and angle A = 180 - (30 + 30) = 120°. We know all the angles in ABC but we don't know any of the lengths. Not sufficient.
(1)+(2) We know all the angles in ABC and the length of one of the sides, BC. So, we can find any other length there, including AC (radius). Sufficient.
Answer: C.
