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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 degrees to be fair.
a) What is the central angle in radians?
Use the radian measure of the central angle and the appropriate
formula for questions (b) and (c).
b) The officials draw an arc across the fair landing area as shown in the
picture above, what is the length of the arc?
c) 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?
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