Question 736440
A large circle of radius 1 is drawn tangent to perpendicular rays.
 Find the radius of the smaller circle that is placed in the space.
:
Note the 1" square formed by two perpendicular radii and the two rays
Find the diagonal of this square: {{{sqrt(1^2+1^2)}}} = {{{sqrt(2)}}}
the diameter of the circle in the space will be the diagonal - radius of the large cicle: {{{sqrt(2) - 1}}}
the radius of the small circle then: {{{(sqrt(2)-1)/2}}}