John is adding a curved edge to the landscaping in front of the high school. the curve is an arc of a circle with a radius of 1600 feet. the central angle that intercepts the curve measures π/8 radians. the length of the curve to the nearest foot is feet.

By definition, the arc length is given by:
 S = R * theta
 Where,
 Theta: central angle
 R: radio
 Substituting the values we have:
 S = (1600) * (π / 8)
 Rewriting we have:
 S = 200π feet
 S = 628.3185307 feet
 Round to the nearest foot:
 S = 628 feet
 
 The length of the curve to the nearest foot is 628 feet.