# Calculus

posted by .

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.

• Calculus -

See the Related Questions below. This has been solved already.

• Calculus -

88.143

• Calculus -

ur booty

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Calculus

"A rectangle is inscribed in a semicircle of radius 2 cm. Find the largest area of such a rectangle". There is a diagram, but I think the question makes it clear enough what is going on. I'm having problems finding a relationship that …
2. ### calculus

A rectangle is constructed with its base on the diameter of a semicircle with radius 5 cm and with two vertices on the semicircle. What are the dimensions of the rectangle with maximum area?
3. ### Calculus

A rectangle is constructed with its base on the diameter of a semicircle with radius 5 cm and with two vertices on the semicircle. What are the dimensions of the rectangle with maximum area?
4. ### calculas

find the perimeter of the rectangle with maximum area that can be inscribed in a semicircle of radius 2 ft. if two of its vertices are on the diameter of the semicircle and the other two are on the semicircle.
5. ### Calc

A rectangle is to be inscribed in a semicircle of radius 8, with one side lying on the diameter of the circle. What is the maximum possible area of the rectangle?
6. ### Calculus

Find the area of the largest rectangle that can be inscribed in a semicircle or radius r.
7. ### pre-calc

a semicircle of radius r=3x is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle 1. express the area A if the rectangke as a function 2 express the perimeter P of the rectamgle as a function …
8. ### Calculus

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 31 feet?
9. ### Calculus

Find the area of the largest rectangle that fits inside a semicircle of radius 10 (one side of the rectangle is along the diameter of the semicircle).
10. ### Calculus - Optimization

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 38 feet?

More Similar Questions