### Home > PC > Chapter 4 > Lesson 4.2.2 > Problem 4-89

4-89.

On the midway of MathAmerica Carnival land is a wheel of fortune. A transparent wheel with a radius of one meter is in front of a shaded winning region that is stationary behind the wheel. Spin the wheel and if point P lands in the region, you win. Homework Help ✎ If the point moves 5 radians around the circle, how many degrees has it moved?

Show the new position of the point after the rotation in part (a).

The point has traveled a total of 1200 degrees. How far has it traveled?

If the point rests in the shaded region when the wheel stops, the player wins. Will the player win?

That is short of the shaded region.