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Math Puzzle for May 30, 2025

by Jeff Smith On In Puzzles | Comments Disabled

Circle the wagons, square the roots, and triangulate our position

Alameda Post - two intersecting tangent lines and two tangent circles that fit neatly in the "V" shape created on one side of the lines' intersection. The large angle at the intersection of the lines is theta. The circles fit snuggly in the smaller angle of the "V" of the lines, and they touch each other. [1]

Depicted above are two intersecting tangent lines and two tangent circles.
The tangent lines intersect at an angle θ = 142.9505685722O.
The smaller circle has an area of 400 square meters.

Find the area A of the larger circle.

First correct answer to arrive at [email protected] [2] wins a Tucker’s ice cream gift card.

Last week’s winner [3] was Doug Bailey of Decatur, Georgia, with A = 2025 square meters.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].