Question 1053192
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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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<pre>
{{{sqrt(50^2 + (10-6)^2)}}} = {{{sqrt(2500 + 16)}}} = {{{sqrt(2516)}}} =~ 50.16 cm (approximately).


For the plot to this problem see the lesson 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/HOW-TO-construct-a-common-exterior-tangent-line-to-two-circles.lesson>HOW TO construct a common exterior tangent line to two circles</A>, Figure 1b

in this site.
</pre>

You have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A>

in this site. 


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