In this study, carrots of Beypazari variety, cultivated during 2004 season were chemically and steam peeled. Effects of temperature, concentration of NaOH solutions and immersion time on lye peeling of carrots were studied / optimum time-temperature-concentration relations were analyzed mathematically. Then suitable combinations of concentration, temperature and time were determined just by considering degree of peeling. Increases in both temperature and concentration of lye solution led to a decrease in peeling time. However it was observed that the temperature of the lye solution was the main effect on the quality of carrots. Treatment with 0.75 % NaOH at 77&deg / C for 10.5 minutes was found to be optimum to peel the carrots, mathematically. In steam peeling, the peeled surface area-time relations were analyzed mathematically. Complete peeling was achieved at 8.5 minutes. Under complete peeling conditions, the effect of chemical and steam peeling on quality of carrots were determined. Then the mathematical optimum value for chemical peeling was evaluated for quality parameters. The optimum chemical peeling value was fitted to the peeling yield-pectin relations. The peeling yield of steam peeled carrot was higher than the chemically peeled carrot. The color of the chemically peeled carrot had the highest consumer acceptance compared to conventional peeling. Finally, the two conditions were suitable for considering the need of the plant design.