SOLUTION: a rope fits tightly around two pulleys. what is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10 cm and 6 cm, respectively, and

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Question 1053192: a rope fits tightly around two pulleys. what is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10 cm and 6 cm, respectively, and the portion of the rope is tangent to the two pulleys is 50 cm long?
Answer by ikleyn(52787) About Me  (Show Source):
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a rope fits tightly around two pulleys. what is the distance between the centers of the pulleys if the radii of the bigger
and smaller pulleys are 10 cm and 6 cm, respectively, and the portion of the rope is tangent to the two pulleys is 50 cm long?
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sqrt%2850%5E2+%2B+%2810-6%29%5E2%29 = sqrt%282500+%2B+16%29 = sqrt%282516%29 =~ 50.16 cm (approximately).


For the plot to this problem see the lesson 

    - HOW TO construct a common exterior tangent line to two circles, Figure 1b

in this site.

You have this free of charge online textbook on Geometry
    - GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this textbook in the section "GEOMETRIC CONSTRUCTIONS USING A COMPASS AND A RULER"
under the topic "Geometric constructions related to circles".