.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
= = =~ 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".