A rectangle is inscribed in a semicircle of radius 1.
(a) Express the area A of the rectangle as a function of the angle theta.
(b) Show that A = sin(2theta)
um, what angle is theta?
in any case, i think it would be a good idea for you do draw this on a pair of axis. let the rectangle sit on the x-axis with its top vertices touching the upper-half circle of radius 1 centered at the origin. try to center the rectangle also. see if that gives you any ideas
Hello, magentarita!
A rectangle is inscribed in a semicircle of radius 1.
(a) Express the area of the rectangle as a function of
(b) Show that: .Code:* * * * | * *-------+-------* *| | * |* | | 1* |y * | | * θ | * *-+-------+-------+-* x
The area of the rectangle is: .
We have: .
Therefore: .