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Math Puzzle for September 27, 2024

by Jeff Smith On In Puzzles | Comments Disabled

Sinusoidal sine curve traps square regular quadrilateral

Alameda Post - a sine wave with a wavelength of 2 pi. Within the first half of the sine wave, a box perfectly sits inside the curve. The height of the box is labeled "a" [1]

A square is drawn under a sine wave with its corners tangent to the curve.
The amplitude of the sine wave a is 1.069489199 units.

Find the area A of the square, given the curve is measured in radians.

First correct answer arriving at [email protected] [2] wins a gift card worth a lot of dessert at Tucker’s Ice Cream of Alameda.

The correct answer to last week’s puzzle [3] was BD = 12.247 and θ = 41.55º. Last week’s winner was Reisha Sickel of Overland Park, Kansas.

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