Question

Find the rectangle of largest area that can be inscribed in a semicircle of radius R, assuming that one side of the rectangle lies on the diameter of the semicircle.

NOTE: Let L denote the length of the side that lies on the diameter and H denote the height of the rectangle. Your answer will likely involve R.


L=

H=

Answer 1

@Hero

Answer 2

@dan815

Answer 3

@sourwing

Answer 4

Are there any specific measurements that go with the problem?

Answer 5

let me check

Answer 6

just that

Answer 7

im reading it and it doesnt give me anything else

Answer 8

Sorry it took me so long- I was working on some math of my own.

Answer 9

its an optimization problem

Answer 10

Unfortunately, I don't think I've learned that yet. I sorry I can't help you :(

Answer 11

its fine

Answer 12

All right- Good luck with finding an answer. Sorry again