In the men’s shot put event at the 2012 Summer Olympic Games, the length of the winning shot was 21. 89 meters. A shot put must land within a sector having a central angle of 34. 92° to be considered fair.


a. The officials draw an arc across the fair landing area, marking the farthest throw. Find the length of the arc.




b. All fair throws in the 2012 Olympics landed within a sector bounded by the arc in part (a). What is the area of this sector?