A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
A sign designer created a sign in the shape shown below.
The semicircles are congruent to one another with a diameter of 8 inches. What is the perimeter of the sign?
about 120 inches
about 135 inches
about 108 inches
about 75 inches
 2 years ago
A sign designer created a sign in the shape shown below. The semicircles are congruent to one another with a diameter of 8 inches. What is the perimeter of the sign? about 120 inches about 135 inches about 108 inches about 75 inches

This Question is Closed

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.0I would calculate the area of the rectangle (without the semicircles cut out) and then subtract the areas of the semicircles from that. So the area of the rectangle would the height (h=30 inches as given) and we know the width(w) is the width of 3 half circles with diameters of 8 inches so w = ? Can you figure that part?

mubzz
 2 years ago
Best ResponseYou've already chosen the best response.1The perimeter is the sum of all the boundary dimensions of any figure. The boundary of this figure has two sides and 6 semicircular arches. The perimeter will be computed by: Perimeter = 2*(Length of side) + 6*(arc length of single semicircle) \[Perimeter = (2*30) + 6(pi*radius)\] where radius is diameter/2 = 4 inches Perimeter = 60 + 6(\[4pi\] Perimeter = 60 + 24pi Perimeter = 135.408inches

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.0Now, what is the area of the 6 halfcircles that have been cut out of the rectangle? 6 halfcircles make 3 whole circles and we know the area of a circle is (pi)(D/2)^2 where D is the diameter so....

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.0Shoot...I was figuring out the area, not the circumference . Ooops.

wafflegod551
 2 years ago
Best ResponseYou've already chosen the best response.0well at least you tried lol
Ask your own question
Ask a QuestionFind 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.