You have two disks. the bigger one has 24 inch radius and its is rigidly attached to a peg (it doesn’t turn or move). the smaller one has 8 inch radius and it rotates around the bigger disc. how many times does the smaller disc about its centre when it has completed one full revolution around the bigger disc?

Perimeter of bigger disc = 2π*24 inch
perimeter of bigger disc = 2π*8 inch

number of rotations =2π*24/2π*8 = 3

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c