Math Puzzle for September 11, 2026

Individual interests and collective interest join hands at the local paper

Alameda Post - A circle inside of a right triangle A.B.C. inside of a larger circle. The right triangle's hypotenuse C is the diameter of the circle. All three points of the triangle touch the outer circle. All three points of the inner circle touch the right triangle. The angle A. C. is labeled theta.

Depicted above is a right triangle with legs a and b, and hypotenuse c. The triangle is circumscribed by the outer, larger circle. Inscribed within the triangle is a smaller, inner circle.

The area of the outer, larger circle is six times the area of the smaller, inner circle. Side a has a length of 39.

Find the area of the larger circle and the area of the triangle.

A correct answer sent to [email protected] may win a Tucker’s Gift Card.

Last week’s winner was James Forakis with d = 258 kilometers.

(Use of AI to solve this problem is strictly prohibited.)

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

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