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\(\frac{10+6}{2} = 8\)

Answer will be (A)
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OM=5 PM=3
OP=5+3=8
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Bunuel

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


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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Bunuel

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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Bunuel

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


Attachment:
2017-11-16_1929.png


Bunuel-please correct the answer-it should be A.
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KS15
Bunuel

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


Attachment:
2017-11-16_1929.png


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

Edited. Thank you.
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