Jessica is designing a large, circular garden for a neighborhood park. a part of the garden will be occupied by a fountain. if the diameter of the garden is 82 meters and the measure of the angle formed by the fountain is 126°, what will be the approximate length of the garden cover by the fountain?

For this case what we should do is use the following relationship:
 S = R * theta
 Where
 S: length of the garden covered by the fountain.
 R: Garden radio
 theta: angle formed by the source.
 Substituting values we have:
 S = (82/2) * ((126) * (pi / 180))
 S = 90.16 m
 
 The approximate length of the garden cover by the fountain will be: 
 S = 90.16 m