Acircle has diameter 11cm a square has side length 7cm use pythagoras' theorem to show that the square will fit inside the circle without touching the edge of the circle.

The Pythagoras theorem gives the value of diagonal of the square as 9.89 cm. As the diagonal of the square is less then the diameter of the circle then conclusion can be made that the square will fit inside the circle without touching the edge of the circle.

Given information:

The diameter of the circle is 11 cm

The length of the square is 7 cm.

To show that the square will fit into the circle without touching its edge, use Pythagoras theorem to find the diagonal of the square.

If, the value of diagonal is less than the diameter of the circle then the square will fit into the circle.

So, the expression formed for the diagonal is,

The value of diagonal of the square is 9.89 cm.

As the diagonal of the square is less then the diameter of the circle then conclusion can be made that the square will fit inside the circle without touching the edge of the circle.

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