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Math Puzzle for January 17, 2025

Remembering the rhizoid rubric for the rhotic rhombus

Alameda Post - a math diagram consisting of a large circle that fully encircles a rhombus and a smaller circle. All are centered. Two points of the rhombus touch the outer circle.

Depicted above is a rhombus, a large circle and a small circle.
Each circle symmetrically intersects opposite vertices of the rhombus.
The sum of the areas of the two circles is 907.92028.
The difference of the areas of the two circles is 505.79642
Find the area A and perimeter P of the rhombus.

A = ____ square units P = ____ units

The first correct answer received at [email protected] wins a Tucker’s Ice Cream gift card.

Last week’s winner was Thomas Wolters with H = 22.97 feet.

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

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