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View Full Version : Geometry: Area of a Square in a Circle


KobyWan
Mar 24, 2009, 03:12 PM
So, I am trying to determine how to to find the area of a square that is inscribed in a circle. The only information I have is that the circumference of the circle is 10 inches.

So from here I have determined that:
Diameter is 3.18 (10/pi)
Radius is 1.59

So I would think with that information I would be able to get the area. I know it is a square, so the 4 sides are equal. So, if I can get one side, I can just square that number to get the area.

So I guess my question is, if my assumptions so far are correct, how do I get length of one of the sides of the square?

Thanks!:D

bones252100
Mar 24, 2009, 08:19 PM
The diameter is also the length from one corner of that square to the opposite corner. That is also the hypotenuse of the 2 triangles you have just created. Good luck!