A gazebo is located in the center of a large circular lawn with a diameter of 300 feet. straight paths extend from the gazebo to a sidewalk around the lawn. if two of the paths form a 45 angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot

 1.To solve this problem you must apply the formula for calculate the arc length, which is:
 arc length=2πr(central angle/360)
 r=300 feet/2
 r=150 feet
 central angle=45°
 2. When you substitute the values, you obtain
 arclength=118 feet
 The answer is: 118 feet