SOLUTION: Circle P has radius 10 cm. Two perpendicular radii are drawn, and a smaller circle is drawn tangent to both radii and the larger circle, as shown. What is the radius of the sma

Question 919772: Circle P has radius 10 cm. Two perpendicular radii are drawn, and a smaller
circle is drawn tangent to both radii and the larger circle, as shown. What
is the radius of the smaller circle? Express your answer as a decimal to the
nearest tenth.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

The radius of the larger circle is R.
The radius of the smaller circle is r.
The length of the green lines is r.
So from the center of the large circle to the center of the small circle is

From the center of the large circle to the edge of the large circle is,

So then,

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