Question

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.

Answer 1

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
 Answer:
 The length of the curve to the nearest foot is 628 feet.