Q:

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

Accepted Solution

A:
 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