A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.
anonymous
 5 years ago
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

This Question is Closed

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Let \(h\) be the height of the rectangle. Here \(x/2\) is the radius of the semicirlce. So perimeter= \(2h+x+\pi\cdot (x/2)=2h+(2\pi+1)x=160\) Solving for \(h\) we have \(h=80(2\pi+1)(x/2)\). Now the area of the window is \(A=hx+\frac{1}{2}\pi(x/2)^2\) \(=80x(2\pi+1)(x^2/2)\pi(x^2/4)\) You can simplify more if you want :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is the 160 suppose to be 16 ?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1yes sorry, that was a typo then \(h=16(2\pi+1)(x/2)\) and you continue from there :).

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1I mean \(h=8(2\pi+1)(x/2)\)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.