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 if necessary.
236ft
59ft
110ft
118ft

Question

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 if necessary.
236ft
59ft
110ft
118ft

phi · Answer

I would first find the circumference of the lawn  (circle) 

then what fraction is 45º out of 360º to find the length of the arc

anonymous · Answer

so for the circumference i got 942.478 feet and the length of the arc is 8

anonymous · Answer

@phi

phi · Answer

the length of the arc is 8  

I hope you mean ⅛ of the way around the circle.

so the distance you want is ⅛ * 942.5  (roughly)

anonymous · Answer

the only answer relatively close to that would be A? Correct?

phi · Answer

are you asking if 942.5/8 is about 236 ?

anonymous · Answer

oh no im using the wrong numbers
Thanks! :D

anonymous · Answer

I got D btw

anonymous · Answer

was D right?