Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Square in semi-circle

Find the side length of a square inscribed in a semi-circle of radius 1 such that all of its vertices touch the semi-circle.

Help plz...thanks

bossk171

Member

Registered: 2007-07-16

Posts: 305

Re: Square in semi-circle

one side is

... I think.

I drew a semi circle, and inscribed a square they way I thought it should go. I then drew a line from the center of the base (the point that would be the center if it was a full circle) to one of the upper vertices  of the square. This length should be one.

The length of one of the sides of the square can be "s" and because the point is in the middle of the base, the base of the triangle created should be s/2.

so

I think.

EDIT: fixed my answer, thanks krassi_holmz.

Last edited by bossk171 (2007-09-06 04:47:53)

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There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.

krassi_holmz

Real Member

Registered: 2005-12-02

Posts: 1,905

Re: Square in semi-circle

it's

Last edited by krassi_holmz (2007-09-06 02:16:16)

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IPBLE:  Increasing Performance By Lowering Expectations.

bossk171

Member

Registered: 2007-07-16

Posts: 305

Re: Square in semi-circle

Yeah, thanks, That's what I had written down, then when I typed it up, I typed it wrong... It's fixed now. Thanks.

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There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.