Step-by-step explanation
The distance d travelled by point P after a revolution by an angle θ is given by the length of the arc travelled by point P. This distance is given by:
Where r is the radius of the circle and θ is the angle of the revolution in radians.
Now, in this case, we have r = 1 foot. Replacing this value in the equation above, we get:
So we see that the distance travelled (in ft) by the point P is just the magnitude of the angle θ (in radians).
Answer
The distance travelled by point P is given by the length of arc travelled, which is given by: