Meanwhile, in a large saucepan, cook rice noodles and carrot in a large amount of boiling water for 3 to 4 minutes or just until noodles are tender; drain. Rinse with cold water; drain again. Use kitchen scissors to snip noodles into short lengths. In a medium bowl, stir together lime peel, lime juice, and the 2 teaspoons oil. Add noodle mixture and cilantro; toss gently to coat.