A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
*MEDAL WILL BE AWARDED*
The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27pi sq. in.
a) 9
b) 6
c) 3
anonymous
 one year ago
*MEDAL WILL BE AWARDED* The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27pi sq. in. a) 9 b) 6 c) 3

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are you jumping around or what? It's like you're answering like 10 questions at a time! Lol! :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i am trying to get all the medals i can so i can trade in my bike for a kia sedona

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the area comes with the square of the radius

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it the ratio of the radius is 3 : 1 the ratio of the area is \(3^2:1\) i.e. \(9:1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh. I thought you were supposed to divide 27 by 3 and get 9?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0suppose one circle has radius 1, it has area \(\pi\) and another one has radius 3, it has area \(9\pi\) i.e. its area is 9 times as large, not 3 times

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if the larger circle has area 27, then the smaller one has areas oneninth as large \[\frac{27}{9}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0smaller has area 3 yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Btw the answers are a) 9pi b) 6pi c) 3pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you want to take half a minute i can explain easy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay thanks so much! That would be a big help

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lets forget about a circle just use a square the area of a square with side \(a\) is \(a^2\) like if the side is 4 the area is 16

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now suppose you have another square whose sides is 3 times as large, so sides is12 the area of that square is \(12^2=144\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And the little one is 48

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the ratio of the sides is \(3:1\) but the ratio of the areas is \(144:16=9:1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in other words, the ratio of the areas is the square of the ratio of the sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0supposed you had one square with side 1, its area is 1 another has side 3, its area is 9 ratio of sides 3:1 ratio of areas 9:1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0same with the circle ratio of radii 3:1 ratio of area 9:1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So sides and areas will always be different? I think that's where I had went wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes the ratio of the area is the SQUARE of the ratio of the sides this should not be too surprising because the side is measured in length (one dimensional unit like feet or meters) and the area is measured in SQUARE units, like square feet or square meters

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so if the ratio of the sides is say \(5:2\) then the ratio of the areas is \(25:4\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh wow that makes so much more sense now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0glad to help you got another one we can try ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was just about to ask you too Lol!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0go ahead i will take a look, but first give me your answer
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.