Triangles and Tangents
Two circles with the centers A and B have circumferences of 30π. The circles are placed such that they have two external and two internal tangents. The closest distance between the two circles is 20. One external tangent intersects the circles at Y and Z. One internal tangent intersects the circles at M and N. Find the difference between the area of ∆YZA and the area of ∆MNB.
The answer is 150.
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