|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
06 Sep 2005, 14:50
Kudos
Bookmarks
Please post your work. Thanks!
A circle is circumscribed about a square of side a units. What is the ratio of the area of the circle to that of the square?
A) 2 : 1
B) Pi : 2
C) 2 : Pi
D) Pi : 4
E) : Pi
A circle is circumscribed about a square of side a units. What is the ratio of the area of the circle to that of the square?
A) 2 : 1
B) Pi : 2
C) 2 : Pi
D) Pi : 4
E) : Pi
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
06 Sep 2005, 15:52
Kudos
Bookmarks
What's E? It looks like it's missing something.
Anyway the ratio I got was B) Pi : 2
Will explain if it is right.
Anyway the ratio I got was B) Pi : 2
Will explain if it is right.
06 Sep 2005, 16:29
Kudos
Bookmarks
The circle just touches the corners of the square.
So the diameter of the circle is the length of the diameter of the square.
This is sqrt(a^2 + a^2) = sqrt(2) * a
Area of circle = pi/4 * diameter^2
= pi/4 * 2 * a^2 = pi/2 * a^2
Area of square = a^2
Ratio = pi/2 * a^2 : a^2
= pi : 2
So the diameter of the circle is the length of the diameter of the square.
This is sqrt(a^2 + a^2) = sqrt(2) * a
Area of circle = pi/4 * diameter^2
= pi/4 * 2 * a^2 = pi/2 * a^2
Area of square = a^2
Ratio = pi/2 * a^2 : a^2
= pi : 2
