Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
wafflegod551
Group Title
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
 2 years ago
wafflegod551 Group Title
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
 2 years ago

This Question is Closed

pfenn1 Group TitleBest ResponseYou've already chosen the best response.0
I 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?
 2 years ago

mubzz Group TitleBest ResponseYou've already chosen the best response.1
The 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
 2 years ago

pfenn1 Group TitleBest ResponseYou've already chosen the best response.0
Now, 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....
 2 years ago

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

wafflegod551 Group TitleBest ResponseYou've already chosen the best response.0
well at least you tried lol
 2 years ago
See more questions >>>
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.