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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