Question

A gazebo is located in the center of a large, circular lawn with a diameter f 300ft. Straight paths extend from the gazebo to a sidewalk around the lawn. if two of the paths form a 45degree angle, how far would you have to travel around the sidewalk to get from one path to the other? Round to the nearest foot if necessary. a. 236 ft b. 59ft c. 110ft d. 118ft

Answer 1

The distance all the way around the sidewalk (the circumference) is 300 pi. 45 degrees is 1/8 of 360 degrees, so the two paths cut 1/8 of the circumference. That's 37.5 pi = 117.81 ft. The nearest whole foot is 118 ft.