Question

A window has the shape of a semi-circle placed on top of a rectangle, as shown. a. Express the area A of the window in terms of the width $w$ and height $h$ of the rectangle. $A(h, w) =$ b. If the area is 7, express the height in terms of the width. $h(w) = $

          A window has the shape of a semi-circle placed on top of a rectangle, as shown.
a. Express the area A of the window in terms of the width $w$ and height $h$ of the rectangle.
$A(h, w) =$
b. If the area is 7, express the height in terms of the width.
$h(w) = $

A window has the shape of a semi-circle placed on top of a rectangle, as shown.
a. Express the area A of the window in terms of the width w and height h of the rectangle.
A(h, w) =
b. If the area is 7, express the height in terms of the width.
h(w) =

Added by Marta M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

11/16/2021

Step 1

Second, the area of the semi-circle is half the area of a full circle. The diameter of the semi-circle is the same as the width of the rectangle, so the radius is w/2. The area of a full circle is πr², so the area of the semi-circle is 1/2 * π * (w/2)² = πw²/8. Show more…

Show all steps

Thanks for your feedback!

A window has the shape of a semi-circle placed on top of a rectangle, as shown. a. Express the area A of the window in terms of the width w and height h of the rectangle. A(h, w) = b. If the area is 7, express the height in terms of the width. h(w) =