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#1 2014-01-31 16:06:48

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,021

2 questions

1.what is a rectangular parallelopipe?

2. what is the ratios of areas of incircle and circumcircle of an isosceles right angled triangle?


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#2 2014-01-31 20:20:39

bob bundy
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Registered: 2010-06-20
Posts: 6,395

Re: 2 questions

hi Niharika

(i)  Sounds like just another name for a cuboid:

http://en.wikipedia.org/wiki/Parallelepiped

Look at the special cases section.

(ii)  Working on it.  smile

LATER EDIT: (diagram in next post)

In my diagram the radius of the circumcircle is AF.  If you let AC = CB = a then you can get an expression for the area in terms of a.

G is the centre of the incircle so its radius is BFtan(22.5)  So you can get an expression for its area in terms of a.

As both will have a^2 this will cancel when you divide one by the other.

I've done that by measurement on my diagram and it doesn't appear to be any simple value.

Bob

Last edited by bob bundy (2014-01-31 20:45:19)


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2014-01-31 20:40:11

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,395

Re: 2 questions

diagram here

View Image: niharika2.gif

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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