Hey:) I'm sure this is fairly simple but i cant remember how to do it:
A rectangle is cut from a circular disc of radius 6cm. Find the area of the largest rectangle that can be produced
Thanks in advance:)
Hey! We basically need to set up some sort of equation, and then differentiate to find a maximum value! Not a simple question at all.
There are actually heaps of ways to do this. I would probably draw a circle, and throw in the angles to your rectangle. You can break the problem into four triangles, and four minor segments. You can easily find the area of the four segments, and then find the MINIMUM area of the four minor segments using calculus. Then, when you find this MINIMUM external area, you can subtract that from the area of the circle to find the MAXIMUM area of the rectangle! Give it a go, and let me know if you can't get a solution out.