# Inscribe Square.

• Oct 25th 2008, 11:20 AM
joesmith13610
Inscribe Square.
I am having a problem with this problem...

the exact problem is,

"Inscribe a square in a given sector of a circle. Two vertices of the square are required to lie on the arc, one vertex on each of the two sides of the central angle of the sector."

I got the inscribe square where our central angle is 180.

But what about when central angle is >180, <180.

Thanks everyone
• Oct 25th 2008, 11:51 PM
earboth
Quote:

Originally Posted by joesmith13610
I am having a problem with this problem...

the exact problem is,

"Inscribe a square in a given sector of a circle. Two vertices of the square are required to lie on the arc, one vertex on each of the two sides of the central angle of the sector."

I got the inscribe square where our central angle is 180.

But what about when central angle is >180, <180.

Thanks everyone

1. Draw an arbitrary square, symmetric to the angle bisector of the central angle of the sector, with 2 vertices placed on the legs of the central angle. See attachment: The red square.

2. Use central dilation(?) to get the final result: The blue square.

3. In my opinion this method should work with every central angle.
• Oct 26th 2008, 01:01 PM
joesmith13610
thank you earboth. I appreciate your help, now on forth to the proof.

thanks again.