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manigraja100
Students
 
Posts: 14
Joined: Sun Mar 03, 2013 12:00 am
 

Geometry.Pg 193.#13

by manigraja100 Mon Jun 24, 2013 1:37 am

The explanation for this question says "To pictue the smallest rectangle possible ,envision one extremely short and wide.This rectangle would have a width approaching that of a circle's diameter(12),but the height approaching 0.Thus the area would approach 0."
I can't understand the above explanation.Please explain.
tommywallach
Manhattan Prep Staff
 
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Joined: Thu Mar 31, 2011 11:18 am
 

Re: Geometry.Pg 193.#13

by tommywallach Wed Jun 26, 2013 6:51 pm

Hey Mani,

There's a picture on the next page. Did you see that? I think the picture really helps. Basically, the rectangle needs to be inscribed, but it can keep getting thinner and thinner and thinner, until it's almost a line (i.e., the diameter of the circle). It's height would get so small, however, that the area would approach zero.

Hope that helps!

-t