Question

( Please help me, the year is ending and I'm almost at a failing grade): ) An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120 degrees. Using 3.14 for (symbol that looks like two Ts that are connected), how many yards did the athlete run? Round the answer to the nearest yard.

Answer 1

For this case the arc length is given by:
 S = R * theta
 Where,
 R: radius of the circle
 Theta: central angle
 Substituting values we have:
 S = (250/2) * (120) * (3.14 / 180)
 S = 261.6666667 yards
 Round to the nearest yard:
 S = 262 yards
 Answer:
 the athlete ran:
 S = 262 yards