How did i come up with that?????????    The area under a crest or above a trough........would be half of a circle......in my convoluted mind......who has not taken advanced math...........based on the sine wave.......which is just a point moving counterclockwise around the unit circle......

Circle

Solve for 

area

A

=

π

r

2

r Radius

Area of a circle (video) | Khan Academy

▶ 4:01

https://www.khanacademy.org/...area.../area...circle/.../area-of-a-circ...

Area of a circle. ... The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to ...

Area of a circle (practice) | Khan Academy

https://www.khanacademy.org/math/basic-geo/...area.../area...circle/e/area_of_a_circle

Find the area of a circle given its radius, diameter, or circumference.