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Math Puzzle for February 7, 2025

A circle is trapped under a sine wave, someone call the rescue squad

Alameda Post - A circle sits on top of the x axis directly under the positive half cycle of a sine wave. The diagram indicates that the sine wave has a period of Τ = 2π and an amplitude of a=3 [1]

A circle is under a sine wave.
The circle is tangent to the sine wave at two points and tangent to the x-axis.
The sine wave has a period of Τ = 2π and an amplitude of a = 3.
Find the area A of the circle.

A = ______ square units

First correct answer received at [email protected] [2] wins a Tucker’s gift card.

Last week’s winner [3] was Xavier Strand with θ = 48.2 degrees.

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