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Math Puzzle for January 5, 2024

Wagner Collaborates with Euclid to Compose Der Rings des Nibelungen

Alameda Post - Math Puzzle for January 5, 2024. Three circles are inside of each other. The radius of the innermost circle is labeled "r." The distance from the inner circle's edge to the middle circle's edge is "a." The distance from the middle circle's edge to the outermost circle's edge is "b."

Above is a circle surrounded by an inner annular and an outer annular.
The three geometric figures are all concentric, i.e. share the same center.
The inner annular has a width of a.
The outer annular has a width of b.
The circle, the inner annular and the outer annular all have equal areas.
The circle has an area of 100 square centimeters.
Find appropriate values for the width of the inner annular and the outer annular.

a = _________ centimeters   b = _________ centimeters

First correct answer sent to  [email protected] wins a gift card worth a whole lot of ice cream at Tucker’s Ice Cream of Alameda.

The previous winner was Pablo Orla-Bukowski with P = 1119.063 centimeters.

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

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