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In the figure above, the circles with centers O and P have radii of 5

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Bunuel
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In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   14 Nov 2017, 23:53
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In the figure above, the circles with centers O and P have radii of 5 and 3 respectively, and have exactly one point in common. If a circle C (not shown) is drawns such that O is its center and P is on its circumference, what is the radius of circle C?

(A) 8
(B) 10
(C) 11
(D) 16
(E) cannot be determined

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Ero376
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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 01:29
Radius of circle O plus the diameter of circle P => 5+3+3=11


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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 02:30
Bunuel wrote:

In the figure above, the circles with centers O and P have radii of 5 and 3 respectively, and have exactly one point in common. If a circle C (not shown) is drawns such that O is its center and P is on its circumference, what is the radius of circle C?

(A) 8
(B) 10
(C) 11
(D) 16
(E) cannot be determined

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Attachment:
2017-11-15_1037.png



8? 5+3 will b the radius for circle C
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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 02:35
rocko911 wrote:
Bunuel wrote:

In the figure above, the circles with centers O and P have radii of 5 and 3 respectively, and have exactly one point in common. If a circle C (not shown) is drawns such that O is its center and P is on its circumference, what is the radius of circle C?

(A) 8
(B) 10
(C) 11
(D) 16
(E) cannot be determined

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Attachment:
2017-11-15_1037.png



8? 5+3 will b the radius for circle C
it says circle P is on the circumference of Circle C thus we take the diameter of circle P and add up to the radius of circle O



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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 02:39
However it does not explicitly mention whether the circle P is on the circumference or the center of circle P is on the circumference. For that reason I cannot definitely state whose answer between me and you is correct,


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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 02:41
Ero376 wrote:
However it does not explicitly mention whether the circle P is on the circumference or the center of circle P is on the circumference. For that reason I cannot definitely state whose answer between me and you is correct,


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There is no CIRCLE P in the question.....P is only point , which is center
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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 02:43
rocko911 wrote:
Ero376 wrote:
However it does not explicitly mention whether the circle P is on the circumference or the center of circle P is on the circumference. For that reason I cannot definitely state whose answer between me and you is correct,


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There is no CIRCLE P in the question.....P is only point , which is center
in that case your answer choice is correct
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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 09:26
Bunuel wrote:

In the figure above, the circles with centers O and P have radii of 5 and 3 respectively, and have exactly one point in common. If a circle C (not shown) is drawns such that O is its center and P is on its circumference, what is the radius of circle C?

(A) 8
(B) 10
(C) 11
(D) 16
(E) cannot be determined

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2017-11-15_1037.png

IMO A - 8
Let the common point be M.
OP (radius of circle C) = OM + MP
5+3 = 8
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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink] New post   15 Nov 2017, 20:49
If O is the center of circle and point P lies on its circumference then radius will be OP which is equal to
OP=OM+MP
Hence 5+3 = 8
Option A is our winner.


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Re: In the figure above, the circles with centers O and P have radii of 5 [#permalink]
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