A road is provided with a horizontal circular curve having deflection angle of 55° and centre line radius of 250 m. A transition curve is to be provided at each end of the circular curve of such a length that the rate of gain of radial acceleration is 0.3 m/s3 at a speed of 50 km per hour. Length of the transition curve required at each of the ends is

• 2.57 m
• 33.33 m
• 35.73 m
• 1666.67 m