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Line segment AC is tangent to the circle with center O, and
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06 Oct 2020, 10:42
06 Oct 2020, 10:42
Expert Reply
00:00
Question Stats:
68% (01:21) correct
31% (00:59) wrong based on 51 sessions
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Attachment:
GRE Line segment AC is tangent to the circle with center O, and CO = 5..png [ 14.2 KiB | Viewed 5411 times ]
Line segment AC is tangent to the circle with center O, and CO = 5.
Quantity A |
Quantity B |
Circumference of the circle |
\(10\pi\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: Line segment AC is tangent to the circle with center O, and
[#permalink]
06 Oct 2020, 17:47
06 Oct 2020, 17:47
2
Carcass wrote:
Attachment:
GRE Line segment AC is tangent to the circle with center O, and CO = 5..png
Line segment AC is tangent to the circle with center O, and CO = 5.
Quantity A |
Quantity B |
Circumference of the circle |
\(10\pi\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
we know that C is outside the circumference, therefore, OC is greater than the radius. If we construct an imaginary circle with OC radius we get:
\(r = OC\)
\(C = 2*\pi*5\)
\(C_{OC} = 10*\pi\)
but, given that this radius is greater than BO, the circumference with radius BO MUST be less than \(10\pi\).
Option B
Re: Line segment AC is tangent to the circle with center O, and
[#permalink]
07 Aug 2022, 14:08
07 Aug 2022, 14:08
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