# SOLUTION: A wagon wheel is placed against a wall as shown in the accompanying figure. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is t

Algebra ->  Algebra  -> Circles -> SOLUTION: A wagon wheel is placed against a wall as shown in the accompanying figure. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is t      Log On

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 Geometry: Circles and their properties Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Circles Question 327055: A wagon wheel is placed against a wall as shown in the accompanying figure. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheelAnswer by galactus(183)   (Show Source): You can put this solution on YOUR website!If we draw a picture, we can see that the radius of the wheel has length R=10+x or R=5+y............[1] The equation of a circle is From [1], 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.