Friday, March 29, 2024

Mensa Math Puzzle Brain Buster

                                                             


This is  a nice Mensa-based math puzzler using basic principles of Euclidean geometry and algebra.

A small circle - of radius r - is  inside a larger circle (radius R)  and tangent to it.

A diameter of the larger circle touches the point of tangency.  The line segment between the smaller circle and the larger one (shown in red)  has a length  of 330. There is another diameter perpendicular to the first.

The line segment between the smaller circle and the larger circle on either side (shown in blue) has a length of 210.

What are the lengths of  r and R. 


 Answers next week.

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