Let L be the circle in the x-y plane with center the origin and radius 95. Let S be a moveable circle with radius 85 . S is rolled along the inside of L without slipping while L remains fixed. A point P is marked on S before S is rolled and the path of P is studied The initial position of P is (95,0) The initial position of the center of S is (10,0). After S has moved counterclockwise about the origin through an angle t the position of P is r = 10 cost | 85 cos 2 17 y = 10sint 85 sin 17 How far does P move before it returns to its initial position? Hint: You may use the formulas for cos( utv) and sin( w /2). S makes several complete revolutions about the origin before P returns to (95.0)