A rectangular beam is to be cut from a cylindrical log of diameter 20in.
a) Show the cross-sectional area of the beam is modeled by the function: A(θ)=200sin2θ
b) Show the max. cross-sectional area of such a beam is 200cm^2.

Question

A rectangular beam is to be cut from a cylindrical log of diameter 20in. 
a) Show the cross-sectional area of the beam is modeled by the function: A(θ)=200sin2θ
b) Show the max. cross-sectional area of such a beam is 200cm^2.

anonymous · Answer

@agent0smith help please ^^

anonymous · Answer

Interesting, I'm curious to see the answer.

anonymous · Answer

I sort of have an idea but I'm still so confused. Its been frustrating me. x_x

agent0smith · Answer

guessing it looks like this... with theta being one of the central angles... |dw:1375662812867:dw|
Now we can use the formula for area of a triangle A = 1/2 * absinC