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If we draw a picture, we can see that the radius of the wheel has length
R=10+x or R=5+y............
The equation of a circle is
From , we see that x=R-10 and y=R-5
This gives us
Now, we have to down to one variable.
Simplify and form a quadratic:
Of course, 5 is extraneous and we find the wheel has radius 25 inches.