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In the figure above, the circle with center O has diameter 10 and the

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In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 07:30
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In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20


[Reveal] Spoiler:
Attachment:
2017-11-16_1929.png
2017-11-16_1929.png [ 5.7 KiB | Viewed 712 times ]
[Reveal] Spoiler: OA

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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 07:55
A. 8

OP=10/2+6/2 =8


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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 07:55
Think the answers is A here.

Circle O ==> D=10 so R=5
Circle P ==> D=6 so R=3

O and P are tangent, so no distance between them. 5+3 = 8, hence A.

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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 08:32
\(\frac{10+6}{2} = 8\)

Answer will be (A)

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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 08:51
OM=5 PM=3
OP=5+3=8
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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 16 Nov 2017, 12:05
Bunuel wrote:
Image
In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20


[Reveal] Spoiler:
Attachment:
2017-11-16_1929.png

Two circles tangent to each other share a common tangent line at the point of tangency.

At that point, the common tangent line is perpendicular to the radius of each circle.

Therefore, the radii and the point of tangency lie on the same line, which is why we can add the lengths of the radii to get the length of OP.

2r = diameter
Circle O radius = 5
Circle P radius = 3
OP = (3+5) = 8

Answer A

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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 17 Nov 2017, 13:26
Bunuel wrote:
Image
In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20


We see that the radius of circle O is 5 and the radius of circle P is 3; thus, the length of segment OP is 8.

Answer: A
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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 02 Dec 2017, 02:07
1
This post received
KUDOS
Bunuel wrote:
Image
In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20


[Reveal] Spoiler:
Attachment:
2017-11-16_1929.png



Bunuel-please correct the answer-it should be A.

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Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

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New post 02 Dec 2017, 03:25
KS15 wrote:
Bunuel wrote:
Image
In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20


[Reveal] Spoiler:
Attachment:
2017-11-16_1929.png



Bunuel-please correct the answer-it should be A.


Edited. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: In the figure above, the circle with center O has diameter 10 and the   [#permalink] 02 Dec 2017, 03:25
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