Thread: Inscribed Square

A square is inscribed in a small circle of a sphere whose great circle has a radius of 9cm. If the plane of the square is 6cm from the center of the sphere, find the perimeter of the square.

Help please! thanks!

Hello, reiward!

Did you make a sketch?

A square is inscribed in a small circle of a sphere with radius 9 cm.
If the plane of the square is 6cm from the center of the sphere,
find the perimeter of the square.

Code:

              * * *
          *     |   x  *
      A o - - - + - - - o B
       *        |     *  *
               6|   *
      *         | *  9    *
      *         o         *
      *         C         *

       *                 *
        *               *
          *           *
              * * *

is the side of the square.

Pythagorus says: .

. . Then: .


The perimeter is: .