To find the distance you would have to travel around the sidewalk to get from one path to the other, we need to find the length of the arc between the two paths.
First, we need to find the circumference of the circle:
Circumference = π * diameter
Circumference = π * 200 feet
Circumference ≈ 628.32 feet
Since the angle formed by the two paths is 75°, the length of the arc between them can be found using the formula:
Arc Length = (angle/360) * Circumference
Arc Length = (75/360) * 628.32 feet
Arc Length ≈ 131.05 feet
So, you would have to travel approximately 131 feet around the sidewalk to get from one path to the other.
A gazebo is located in the center of a large, circular lawn with a diameter of 200 feet. Straight paths extend from the gazebo to a sidewalk around the lawnIf two of the paths form a 75angle 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
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