For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters? a) 35° b) 50° c) 70° d) 140°

By definition, the arc length is given by:
 S = R * Theta
 Where,
 R: radio 
 Theta: central angle
 Substituting values we have:
 (7/3) π = (6/2) * Theta
 Clearing the angle we have:
 Theta = (7/9) π
 Rewriting the angle in degrees:
 Theta = (7/9) π * (180 / π)
 Theta = 140 degrees
 
 The measurement of a central angle (in degrees) is:
 Theta = 140 degrees
 D) 140 °

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