For this case the area of the circle segment is given by: A = (S '/ S) * (pi) * (r ^ 2) Where, S '/ S: relationship of arcs r: radius of the circle Substituting values: A = (60/360) * (3.14) * ((12) ^ 2) A = 75.36 cm ^ 2 Answer: The area of the smaller segment of the circle determined by a 60 degree arc is: A = 75.36 cm ^ 2
