A key lime pie in a 10.00 inch diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie plate moves through a distance of 108 inches. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees.() revolutions()radians()degreeIf the pie is cut into 9 equal slices, express the angular size of one slice in radians, as a fraction of pie?

The angular distance in revolution is

The angular distance in radians  is

The angular distance in degrees  is  

The angular size is  

Explanation:

From the question we are told that  

  The diameter is

   The distance moved by the rim is

Generally the circumference of the pie plate is mathematically represented as

Substituting the values  

The number resolution carried out by the pie plate is evaluated as

Substituting value

The angular  distance is mathematically evaluated as

             Where r is the radius which is mathematically evaluated as

Substituting  this into the equation for angular distance

The angular distance traveled in degrees is

When  the pie is cut into 9 equal parts

The angular size would be mathematically evaluated as

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement