Re: Rectangle Inscribed inside a Semicircle (w/ picture)
Originally Posted by Binary
What i can tell from what I see in my calculator. It looks like the Area = 25cm^2, But as you stated there are 4 congruent sides, so Im guessing the area = 100cm^2?
no ... I said the rectangle's area equals 4 congruent triangle areas. The area of one triangle is . Multiplying this expression by four gives the rectangle area, .
Note that the maximum area of the rectangle is 25 because the largest value that can be is 1.
Re: Rectangle Inscribed inside a Semicircle (w/ picture)
So you have to look at what Max Area sin(2theta) can be? So once you have that, you substitue 1 for sin(2theta) and that equals 25cm^2, which gives you the max area of the whole rectangle?